diff --git a/NEWS.md b/NEWS.md
index 1e6389ed..7ccca3cb 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -1,5 +1,7 @@
 # cpp11 (development version)
 
+* `cpp11::as_cpp<int>()` and `cpp11::as_cpp<double>()` now implicitly coerce between all 3 types of single NA values (#53).
+
 * The `END_CPP` macro now includes a `catch(...)` block to catch all C++ exceptions that do not inherit from `std::exception` (#47).
 
 * Improve consistency of inserting NA values in r_string objects (#45)
diff --git a/cpp11test/src/test-as.cpp b/cpp11test/src/test-as.cpp
index 855ea8a9..33f2ac84 100644
--- a/cpp11test/src/test-as.cpp
+++ b/cpp11test/src/test-as.cpp
@@ -55,6 +55,26 @@ context("as_cpp-C++") {
     UNPROTECT(1);
   }
 
+  test_that("as_cpp<integer>(NA)") {
+    SEXP r = PROTECT(Rf_allocVector(REALSXP, 1));
+    SEXP i = PROTECT(Rf_allocVector(INTSXP, 1));
+    SEXP l = PROTECT(Rf_allocVector(LGLSXP, 1));
+    REAL(r)[0] = NA_REAL;
+    INTEGER(i)[0] = NA_INTEGER;
+    LOGICAL(l)[0] = NA_LOGICAL;
+
+    auto x1 = cpp11::as_cpp<int>(r);
+    expect_true(x1 == NA_INTEGER);
+
+    auto x2 = cpp11::as_cpp<int>(i);
+    expect_true(x2 == NA_INTEGER);
+
+    auto x3 = cpp11::as_cpp<int>(l);
+    expect_true(x3 == NA_INTEGER);
+
+    UNPROTECT(3);
+  }
+
   test_that("as_cpp<double>(REALSXP)") {
     SEXP r = PROTECT(Rf_allocVector(REALSXP, 1));
     REAL(r)[0] = 1.2;
@@ -85,6 +105,26 @@ context("as_cpp-C++") {
     UNPROTECT(1);
   }
 
+  test_that("as_cpp<double>(NA)") {
+    SEXP r = PROTECT(Rf_allocVector(REALSXP, 1));
+    SEXP i = PROTECT(Rf_allocVector(INTSXP, 1));
+    SEXP l = PROTECT(Rf_allocVector(LGLSXP, 1));
+    REAL(r)[0] = NA_REAL;
+    INTEGER(i)[0] = NA_INTEGER;
+    LOGICAL(l)[0] = NA_LOGICAL;
+
+    auto x1 = cpp11::as_cpp<double>(r);
+    expect_true(ISNA(x1));
+
+    auto x2 = cpp11::as_cpp<double>(i);
+    expect_true(ISNA(x2));
+
+    auto x3 = cpp11::as_cpp<double>(l);
+    expect_true(ISNA(x3));
+
+    UNPROTECT(3);
+  }
+
   test_that("as_cpp<bool>()") {
     SEXP r = PROTECT(Rf_allocVector(LGLSXP, 1));
     LOGICAL(r)[0] = TRUE;
@@ -382,7 +422,8 @@ context("as_cpp-C++") {
   }
 
   test_that("as_sexp(r_vector<cpp11::r_string>)") {
-    SEXP s1 = PROTECT(cpp11::as_sexp(std::vector<cpp11::r_string>({"foo", "bar", "baz"})));
+    SEXP s1 =
+        PROTECT(cpp11::as_sexp(std::vector<cpp11::r_string>({"foo", "bar", "baz"})));
 
     expect_true(Rf_isString(s1));
     expect_true(Rf_xlength(s1) == 3);
diff --git a/inst/include/cpp11/as.hpp b/inst/include/cpp11/as.hpp
index 74b56434..3efd7aa1 100644
--- a/inst/include/cpp11/as.hpp
+++ b/inst/include/cpp11/as.hpp
@@ -50,11 +50,20 @@ is_integral<T> as_cpp(SEXP from) {
     }
   } else if (Rf_isReal(from)) {
     if (Rf_xlength(from) == 1) {
+      if (ISNA(REAL_ELT(from, 0))) {
+        return NA_INTEGER;
+      }
       double value = REAL_ELT(from, 0);
       if (is_convertable_without_loss_to_integer(value)) {
         return value;
       }
     }
+  } else if (Rf_isLogical(from)) {
+    if (Rf_xlength(from) == 1) {
+      if (LOGICAL_ELT(from, 0) == NA_LOGICAL) {
+        return NA_INTEGER;
+      }
+    }
   }
 
   stop("Expected single integer value");
@@ -90,12 +99,25 @@ is_floating_point_value<T> as_cpp(SEXP from) {
       return REAL_ELT(from, 0);
     }
   }
-  // All integers can be coerced to doubles, so we just convert them.
+  // All 32 bit integers can be coerced to doubles, so we just convert them.
   if (Rf_isInteger(from)) {
     if (Rf_xlength(from) == 1) {
+      if (INTEGER_ELT(from, 0) == NA_INTEGER) {
+        return NA_REAL;
+      }
       return INTEGER_ELT(from, 0);
     }
   }
+
+  // Also allow NA values
+  if (Rf_isLogical(from)) {
+    if (Rf_xlength(from) == 1) {
+      if (LOGICAL_ELT(from, 0) == NA_LOGICAL) {
+        return NA_REAL;
+      }
+    }
+  }
+
   stop("Expected single double value");
 
   return T();