diff --git a/include/oneapi/tbb/detail/_flow_graph_node_impl.h b/include/oneapi/tbb/detail/_flow_graph_node_impl.h
index b630a4b99f..82d57f05f3 100644
--- a/include/oneapi/tbb/detail/_flow_graph_node_impl.h
+++ b/include/oneapi/tbb/detail/_flow_graph_node_impl.h
@@ -63,9 +63,9 @@ class function_input_base : public receiver<Input>, no_assign {
     static_assert(!has_policy<queueing, Policy>::value || !has_policy<rejecting, Policy>::value, "");
 
     //! Constructor for function_input_base
-    function_input_base( graph &g, size_t max_concurrency, node_priority_t a_priority )
+    function_input_base( graph &g, size_t max_concurrency, node_priority_t a_priority, bool is_no_throw )
         : my_graph_ref(g), my_max_concurrency(max_concurrency)
-        , my_concurrency(0), my_priority(a_priority)
+        , my_concurrency(0), my_priority(a_priority), my_is_no_throw(is_no_throw)
         , my_queue(!has_policy<rejecting, Policy>::value ? new input_queue_type() : NULL)
         , my_predecessors(this)
         , forwarder_busy(false)
@@ -75,7 +75,7 @@ class function_input_base : public receiver<Input>, no_assign {
 
     //! Copy constructor
     function_input_base( const function_input_base& src )
-        : function_input_base(src.my_graph_ref, src.my_max_concurrency, src.my_priority) {}
+        : function_input_base(src.my_graph_ref, src.my_max_concurrency, src.my_priority, src.my_is_no_throw) {}
 
     //! Destructor
     // The queue is allocated by the constructor for {multi}function_node.
@@ -87,7 +87,10 @@ class function_input_base : public receiver<Input>, no_assign {
     }
 
     graph_task* try_put_task( const input_type& t) override {
-        return try_put_task_impl(t, has_policy<lightweight, Policy>());
+        if ( my_is_no_throw )
+            return try_put_task_impl(t, has_policy<lightweight, Policy>());
+        else
+            return try_put_task_impl(t, std::false_type());
     }
 
     //! Adds src to the list of cached predecessors.
@@ -121,6 +124,7 @@ class function_input_base : public receiver<Input>, no_assign {
     const size_t my_max_concurrency;
     size_t my_concurrency;
     node_priority_t my_priority;
+    const bool my_is_no_throw;
     input_queue_type *my_queue;
     predecessor_cache<input_type, null_mutex > my_predecessors;
 
@@ -357,7 +361,7 @@ class function_input : public function_input_base<Input, Policy, A, function_inp
     template<typename Body>
     function_input(
         graph &g, size_t max_concurrency, Body& body, node_priority_t a_priority )
-      : base_type(g, max_concurrency, a_priority)
+      : base_type(g, max_concurrency, a_priority, noexcept(body(input_type())))
       , my_body( new function_body_leaf< input_type, output_type, Body>(body) )
       , my_init_body( new function_body_leaf< input_type, output_type, Body>(body) ) {
     }
@@ -492,7 +496,7 @@ class multifunction_input : public function_input_base<Input, Policy, A, multifu
     // constructor
     template<typename Body>
     multifunction_input(graph &g, size_t max_concurrency,Body& body, node_priority_t a_priority )
-      : base_type(g, max_concurrency, a_priority)
+      : base_type(g, max_concurrency, a_priority, noexcept(body(input_type(), my_output_ports)))
       , my_body( new multifunction_body_leaf<input_type, output_ports_type, Body>(body) )
       , my_init_body( new multifunction_body_leaf<input_type, output_ports_type, Body>(body) )
       , my_output_ports(init_output_ports<output_ports_type>::call(g, my_output_ports)){
diff --git a/include/oneapi/tbb/flow_graph.h b/include/oneapi/tbb/flow_graph.h
index 91a46577b7..0fbab190b0 100644
--- a/include/oneapi/tbb/flow_graph.h
+++ b/include/oneapi/tbb/flow_graph.h
@@ -2820,6 +2820,9 @@ class async_body_base: no_assign {
 
 template<typename Input, typename Ports, typename Gateway, typename Body>
 class async_body: public async_body_base<Gateway> {
+private:
+    Body my_body;
+
 public:
     typedef async_body_base<Gateway> base_type;
     typedef Gateway gateway_type;
@@ -2827,14 +2830,11 @@ class async_body: public async_body_base<Gateway> {
     async_body(const Body &body, gateway_type *gateway)
         : base_type(gateway), my_body(body) { }
 
-    void operator()( const Input &v, Ports & ) {
+    void operator()( const Input &v, Ports & ) noexcept(noexcept(my_body(v, std::declval<gateway_type&>()))) {
         my_body(v, *this->my_gateway);
     }
 
     Body get_body() { return my_body; }
-
-private:
-    Body my_body;
 };
 
 //! Implements async node
diff --git a/test/common/graph_utils.h b/test/common/graph_utils.h
index df9a4b1cfb..709a9a5971 100644
--- a/test/common/graph_utils.h
+++ b/test/common/graph_utils.h
@@ -24,6 +24,7 @@
 #include "config.h"
 
 #include "oneapi/tbb/flow_graph.h"
+#include "oneapi/tbb/task.h"
 #include "oneapi/tbb/null_rw_mutex.h"
 #include "oneapi/tbb/concurrent_unordered_set.h"
 
@@ -688,7 +689,7 @@ class native_loop_body {
 public:
     native_loop_body(NodeType& node) : my_node(node) {}
 
-    void operator()(int) const {
+    void operator()(int) const noexcept {
         std::thread::id this_id = std::this_thread::get_id();
         my_node.try_put(this_id);
     }
@@ -701,9 +702,9 @@ class concurrency_checker_body {
     concurrency_checker_body() { g_body_count = 0; }
 
     template<typename gateway_type>
-    void operator()(const std::thread::id& input, gateway_type&) { increase_and_check(input); }
+    void operator()(const std::thread::id& input, gateway_type&) noexcept { increase_and_check(input); }
 
-    output_tuple_type operator()(const std::thread::id& input) {
+    output_tuple_type operator()(const std::thread::id& input) noexcept {
         increase_and_check(input);
         return output_tuple_type();
     }
@@ -740,7 +741,7 @@ class native_loop_limited_body {
 public:
     native_loop_limited_body(NodeType& node, utils::SpinBarrier& barrier):
         my_node(node), my_barrier(barrier) {}
-    void operator()(int) const {
+    void operator()(int) const noexcept {
         std::thread::id this_id = std::this_thread::get_id();
         my_node.try_put(this_id);
         if(!lightweight_work_processed) {
@@ -760,6 +761,7 @@ struct condition_predicate {
 std::atomic<unsigned> g_lightweight_count;
 std::atomic<unsigned> g_task_count;
 
+template <bool NoExcept>
 class limited_lightweight_checker_body {
 public:
     limited_lightweight_checker_body() {
@@ -770,10 +772,9 @@ class limited_lightweight_checker_body {
 private:
     void increase_and_check(const std::thread::id& /*input*/) {
         ++g_body_count;
-        // TODO revamp: in order not to rely on scheduler functionality anymore add
-        // __TBB_EXTRA_DEBUG for counting the number of tasks actually created by the flow graph,
-        // hence consider moving lightweight testing into whitebox test for the flow graph.
-        bool is_inside_task = false;/*tbb::task::self().state() == tbb::task::executing;*/
+
+        bool is_inside_task = oneapi::tbb::task::current_context() != nullptr;
+
         if(is_inside_task) {
             ++g_task_count;
         } else {
@@ -785,10 +786,10 @@ class limited_lightweight_checker_body {
     }
 public:
     template<typename gateway_type>
-    void operator()(const std::thread::id& input, gateway_type&) {
+    void operator()(const std::thread::id& input, gateway_type&) noexcept(NoExcept) {
         increase_and_check(input);
     }
-    output_tuple_type operator()(const std::thread::id& input) {
+    output_tuple_type operator()(const std::thread::id& input) noexcept(NoExcept) {
         increase_and_check(input);
         return output_tuple_type();
     }
@@ -799,25 +800,102 @@ void test_limited_lightweight_execution(unsigned N, unsigned concurrency) {
     CHECK_MESSAGE(concurrency != tbb::flow::unlimited,
                   "Test for limited concurrency cannot be called with unlimited concurrency argument");
     tbb::flow::graph g;
-    NodeType node(g, concurrency, limited_lightweight_checker_body());
+    NodeType node(g, concurrency, limited_lightweight_checker_body</*NoExcept*/true>());
     // Execute first body as lightweight, then wait for all other threads to fill internal buffer.
     // Then unblock the lightweight thread and check if other body executions are inside oneTBB task.
     utils::SpinBarrier barrier(N - concurrency);
     utils::NativeParallelFor(N, native_loop_limited_body<NodeType>(node, barrier));
     g.wait_for_all();
     CHECK_MESSAGE(g_body_count == N, "Body needs to be executed N times");
-    // TODO revamp: enable the following checks once whitebox flow graph testing is ready for it.
-    // CHECK_MESSAGE(g_lightweight_count == concurrency, "Body needs to be executed as lightweight once");
-    // CHECK_MESSAGE(g_task_count == N - concurrency, "Body needs to be executed as not lightweight N - 1 times");
+    CHECK_MESSAGE(g_lightweight_count == concurrency, "Body needs to be executed as lightweight once");
+    CHECK_MESSAGE(g_task_count == N - concurrency, "Body needs to be executed as not lightweight N - 1 times");
     work_submitted = false;
     lightweight_work_processed = false;
 }
 
+template<typename NodeType>
+void test_limited_lightweight_execution_with_throwing_body(unsigned N, unsigned concurrency) {
+    CHECK_MESSAGE(concurrency != tbb::flow::unlimited,
+                  "Test for limited concurrency cannot be called with unlimited concurrency argument");
+    tbb::flow::graph g;
+    NodeType node(g, concurrency, limited_lightweight_checker_body</*NoExcept*/false>());
+    // Body is no noexcept, in this case it must be executed as tasks, instead of lightweight execution
+    utils::SpinBarrier barrier(N);
+    utils::NativeParallelFor(N, native_loop_limited_body<NodeType>(node, barrier));
+    g.wait_for_all();
+    CHECK_MESSAGE(g_body_count == N, "Body needs to be executed N times");
+    CHECK_MESSAGE(g_lightweight_count == 0, "Body needs to be executed with queueing policy");
+    CHECK_MESSAGE(g_task_count == N, "Body needs to be executed as task N times");
+    work_submitted = false;
+    lightweight_work_processed = false;
+}
+
+template <int Threshold>
+struct throwing_body{
+    std::atomic<int>& my_counter;
+
+    throwing_body(std::atomic<int>& counter) : my_counter(counter) {}
+
+    template<typename input_type, typename gateway_type>
+    void operator()(const input_type&, gateway_type&) {
+        ++my_counter;
+        if(my_counter == Threshold)
+            throw Threshold;
+    }
+    
+    template<typename input_type>
+    output_tuple_type operator()(const input_type&) {
+        ++my_counter;
+        if(my_counter == Threshold)
+            throw Threshold;
+        return output_tuple_type();
+    }
+};
+
+#if TBB_USE_EXCEPTIONS
+//! Test excesption thrown in node with lightweight policy was rethrown by graph
+template<template<typename, typename, typename> class NodeType>
+void test_exception_ligthweight_policy(){
+    std::atomic<int> counter {0};
+    constexpr int threshold = 10;
+
+    using IndexerNodeType = oneapi::tbb::flow::indexer_node<int, int>;
+    using FuncNodeType = NodeType<IndexerNodeType::output_type, output_tuple_type, tbb::flow::lightweight>;
+    oneapi::tbb::flow::graph g;
+
+    IndexerNodeType indexer(g);
+    FuncNodeType tested_node(g, oneapi::tbb::flow::serial, throwing_body<threshold>(counter));
+    oneapi::tbb::flow::make_edge(indexer, tested_node);
+
+    utils::NativeParallelFor( threshold * 2, [&](int i){
+        if(i % 2)
+            std::get<1>(indexer.input_ports()).try_put(1);
+        else
+            std::get<0>(indexer.input_ports()).try_put(0);
+    });
+
+    bool catchException = false;
+    try
+    {
+        g.wait_for_all();
+    }
+    catch (const int& exc)
+    {
+        catchException = true;
+        CHECK_MESSAGE( exc == threshold, "graph.wait_for_all() rethrow current exception" );
+    }
+    CHECK_MESSAGE( catchException, "The exception must be thrown from graph.wait_for_all()" );
+    CHECK_MESSAGE( counter == threshold, "Graph must cancel all tasks after exception" );
+}
+#endif /* TBB_USE_EXCEPTIONS */
+
 template<typename NodeType>
 void test_lightweight(unsigned N) {
     test_unlimited_lightweight_execution<NodeType>(N);
     test_limited_lightweight_execution<NodeType>(N, tbb::flow::serial);
     test_limited_lightweight_execution<NodeType>(N, (std::min)(std::thread::hardware_concurrency() / 2, N/2));
+
+    test_limited_lightweight_execution_with_throwing_body<NodeType>(N, tbb::flow::serial);
 }
 
 template<template<typename, typename, typename> class NodeType>
@@ -825,6 +903,10 @@ void test(unsigned N) {
     typedef std::thread::id input_type;
     typedef NodeType<input_type, output_tuple_type, tbb::flow::queueing_lightweight> node_type;
     test_lightweight<node_type>(N);
+
+#if TBB_USE_EXCEPTIONS
+    test_exception_ligthweight_policy<NodeType>();
+#endif /* TBB_USE_EXCEPTIONS */
 }
 
 } // namespace lightweight_testing
diff --git a/test/tbb/test_flow_graph_priorities.cpp b/test/tbb/test_flow_graph_priorities.cpp
index e4f22ba270..5c798063ab 100644
--- a/test/tbb/test_flow_graph_priorities.cpp
+++ b/test/tbb/test_flow_graph_priorities.cpp
@@ -332,7 +332,11 @@ struct DeciderBody {
 
 struct AsyncSubmissionBody {
     AsyncActivity* my_activity;
-    void operator()(data_type input, async_node_type::gateway_type& gateway) {
+    // It is important that async_node in the test executes without spawning a TBB task, because
+    // it passes the work to asynchronous thread, which unlocks the barrier that is waited
+    // by every execution thread (asynchronous thread and any TBB worker or main thread).
+    // This is why async_node's body marked noexcept.
+    void operator()(data_type input, async_node_type::gateway_type& gateway) noexcept {
         my_activity->submit(input, &gateway);
     }
     AsyncSubmissionBody(AsyncActivity* activity) : my_activity(activity) {}