diff --git a/torch/csrc/jit/codegen/cuda/arith.cpp b/torch/csrc/jit/codegen/cuda/arith.cpp
index c217ba8b2c74f..0e0d4c4da0e35 100644
--- a/torch/csrc/jit/codegen/cuda/arith.cpp
+++ b/torch/csrc/jit/codegen/cuda/arith.cpp
@@ -453,6 +453,24 @@ TensorView* rand(const std::vector<Val*>& shape, DataType dtype) {
   return out;
 }
 
+// TENSOR FACTORIES
+TensorView* uniform(
+    const std::vector<Val*>& shape,
+    Val* low,
+    Val* high,
+    DataType dtype) {
+  auto n = shape.size();
+  auto out = TensorViewBuilder()
+                 .ndims(n)
+                 .dtype(dtype)
+                 .contiguity(std::vector<bool>(n, true))
+                 .shape(shape)
+                 .build();
+  IrBuilder::create<RNGOp>(
+      RNGOpType::UniformRange, out, dtype, std::vector<Val*>{low, high});
+  return out;
+}
+
 TensorView* rand_like(TensorView* v) {
   TORCH_CHECK(
       isFloatingPointType(v->dtype()),
diff --git a/torch/csrc/jit/codegen/cuda/arith.h b/torch/csrc/jit/codegen/cuda/arith.h
index 8b6702ab1d372..66344c74880c0 100644
--- a/torch/csrc/jit/codegen/cuda/arith.h
+++ b/torch/csrc/jit/codegen/cuda/arith.h
@@ -121,12 +121,20 @@ TORCH_CUDA_CU_API WelfordResult Welford(
     // import IrBuilder just for this one interface.
     Int* init_N = nullptr);
 
-// TENSOR FACTORIES
+// RNG OPERATIONS
 TORCH_CUDA_CU_API TensorView* rand(
     const std::vector<Val*>& shape,
     DataType dtype);
 TORCH_CUDA_CU_API Val* rand_like(Val*);
 TORCH_CUDA_CU_API TensorView* rand_like(TensorView*);
+
+TORCH_CUDA_CU_API TensorView* uniform(
+    const std::vector<Val*>& shape,
+    Val* low,
+    Val* high,
+    DataType dtype);
+
+// TENSOR FACTORIES
 TORCH_CUDA_CU_API TensorView* full(
     const std::vector<Val*>& shape,
     Val* fill_value,
diff --git a/torch/csrc/jit/codegen/cuda/codegen.cpp b/torch/csrc/jit/codegen/cuda/codegen.cpp
index 8f21dac5bee8b..ac78ec2fb3bdc 100644
--- a/torch/csrc/jit/codegen/cuda/codegen.cpp
+++ b/torch/csrc/jit/codegen/cuda/codegen.cpp
@@ -794,7 +794,17 @@ class CudaKernelGenerator : private OptOutConstDispatch {
     if (needFloatSuffix(op_type) && rop->dtype() == DataType::Float) {
       code_ << "f";
     }
-    code_ << "(rng_result, rng_component" << rop->name() << ");\n";
+    code_ << "(rng_result, rng_component" << rop->name();
+    switch (op_type) {
+      case RNGOpType::UniformRange: {
+        auto parameters = rop->getParameters();
+        TORCH_INTERNAL_ASSERT(parameters.size() == 2);
+        code_ << ", " << gen(parameters[0]) << ", " << gen(parameters[1]);
+        break;
+      }
+      default:;
+    }
+    code_ << ");\n";
   }
 
   std::string genBinaryOp(
diff --git a/torch/csrc/jit/codegen/cuda/ir_internal_nodes.h b/torch/csrc/jit/codegen/cuda/ir_internal_nodes.h
index 7904f4e9ec869..aa8793366a326 100644
--- a/torch/csrc/jit/codegen/cuda/ir_internal_nodes.h
+++ b/torch/csrc/jit/codegen/cuda/ir_internal_nodes.h
@@ -233,6 +233,7 @@ class TORCH_CUDA_CU_API RNGOp : public Expr {
       RNGOpType type,
       Val* out,
       DataType dtype,
+      std::vector<Val*> parameters = {},
       int rng_offset = 0,
       Val* philox_index = nullptr);
 
@@ -254,6 +255,14 @@ class TORCH_CUDA_CU_API RNGOp : public Expr {
     rng_offset_ = val;
   }
 
+  const std::vector<Val*>& getParameters() const {
+    return parameters_;
+  }
+
+  const std::vector<Val*>& getShape() const {
+    return shape_;
+  }
+
   Val* getPhiloxIndex() const {
     return philox_index_;
   }
@@ -267,6 +276,8 @@ class TORCH_CUDA_CU_API RNGOp : public Expr {
  private:
   const RNGOpType rng_op_type_;
   const DataType dtype_;
+  std::vector<Val*> parameters_;
+  std::vector<Val*> shape_;
   int rng_offset_ = -1;
   // The index used to feed philox's subsequence and component
   Val* philox_index_ = nullptr;
diff --git a/torch/csrc/jit/codegen/cuda/ir_iostream.cpp b/torch/csrc/jit/codegen/cuda/ir_iostream.cpp
index 4258d8c6b1377..ec55ad013d016 100644
--- a/torch/csrc/jit/codegen/cuda/ir_iostream.cpp
+++ b/torch/csrc/jit/codegen/cuda/ir_iostream.cpp
@@ -481,14 +481,19 @@ void IrPrinter::handle(const RNGOp* rop) {
 
   os_ << rop->getRNGOpType() << "({";
   bool first = true;
-  for (auto i : rop->inputs()) {
+  for (auto i : rop->getShape()) {
     if (!first) {
       os_ << ", ";
     }
     handle(i);
     first = false;
   }
-  os_ << "}, " << rop->dtype() << ")";
+  os_ << "}";
+  for (auto i : rop->getParameters()) {
+    os_ << ", ";
+    handle(i);
+  }
+  os_ << ", " << rop->dtype() << ")";
 
   indent_size_--;
 
diff --git a/torch/csrc/jit/codegen/cuda/ir_nodes.cpp b/torch/csrc/jit/codegen/cuda/ir_nodes.cpp
index 0d8d04a89c888..3319bf28a18a9 100644
--- a/torch/csrc/jit/codegen/cuda/ir_nodes.cpp
+++ b/torch/csrc/jit/codegen/cuda/ir_nodes.cpp
@@ -441,18 +441,26 @@ RNGOp::RNGOp(
     RNGOpType type,
     Val* out,
     DataType dtype,
+    std::vector<Val*> parameters,
     int rng_offset,
     Val* philox_index)
     : Expr(passkey, ExprType::RNGOp),
       rng_op_type_(type),
       dtype_(dtype),
+      parameters_(std::move(parameters)),
       rng_offset_(rng_offset),
       philox_index_(philox_index) {
   if (out->isA<TensorView>()) {
     for (auto id : out->as<TensorView>()->getRootDomain()) {
-      addInput(id->extent());
+      shape_.emplace_back(id->extent());
     }
   }
+  for (auto v : shape_) {
+    addInput(v);
+  }
+  for (auto v : parameters_) {
+    addInput(v);
+  }
   addOutput(out);
 }
 
@@ -460,6 +468,7 @@ RNGOp::RNGOp(const RNGOp* src, IrCloner* ir_cloner)
     : Expr(src, ir_cloner),
       rng_op_type_(src->rng_op_type_),
       dtype_(src->dtype()),
+      parameters_(ir_cloner->clone(src->parameters_)),
       rng_offset_(src->rng_offset_),
       philox_index_(ir_cloner->clone(src->philox_index_)) {}
 
@@ -477,6 +486,14 @@ bool RNGOp::sameAs(const Statement* other) const {
   if (dtype_ != other_op->dtype_) {
     return false;
   }
+  if (parameters_.size() != other_op->parameters_.size()) {
+    return false;
+  }
+  for (auto i : c10::irange(parameters_.size())) {
+    if (!parameters_[i]->sameAs(other_op->parameters_[i])) {
+      return false;
+    }
+  }
   if (getRNGOffset() != other_op->getRNGOffset()) {
     return false;
   }
diff --git a/torch/csrc/jit/codegen/cuda/ir_utils.cpp b/torch/csrc/jit/codegen/cuda/ir_utils.cpp
index c90acf17b8b33..dba5ee10adabb 100644
--- a/torch/csrc/jit/codegen/cuda/ir_utils.cpp
+++ b/torch/csrc/jit/codegen/cuda/ir_utils.cpp
@@ -266,6 +266,10 @@ struct SubstituteInExpr : public OptInDispatch {
   }
 
   void handle(RNGOp* rng_expr) final {
+    std::vector<Val*> subsituted_params;
+    for (auto v : rng_expr->getParameters()) {
+      subsituted_params.emplace_back(reference_->sameAs(v) ? substitute_ : v);
+    }
     auto out = reference_->sameAs(rng_expr->output(0)) ? substitute_
                                                        : rng_expr->output(0);
     expr_ = IrBuilder::create<RNGOp>(
@@ -273,6 +277,7 @@ struct SubstituteInExpr : public OptInDispatch {
         rng_expr->getRNGOpType(),
         out,
         rng_expr->dtype(),
+        subsituted_params,
         rng_expr->getRNGOffset(),
         rng_expr->getPhiloxIndex());
   }
diff --git a/torch/csrc/jit/codegen/cuda/lower_index.cpp b/torch/csrc/jit/codegen/cuda/lower_index.cpp
index 4719a5fd7bfdf..cde580c1be9fc 100644
--- a/torch/csrc/jit/codegen/cuda/lower_index.cpp
+++ b/torch/csrc/jit/codegen/cuda/lower_index.cpp
@@ -109,6 +109,7 @@ void IndexLowering::handle(const RNGOp* rop) {
       rop->getRNGOpType(),
       out,
       rop->dtype(),
+      rop->getParameters(),
       rop->getRNGOffset(),
       philox_index);
 
diff --git a/torch/csrc/jit/codegen/cuda/mutator.cpp b/torch/csrc/jit/codegen/cuda/mutator.cpp
index e4f4d4a0e89ac..12a3de15f4a7f 100644
--- a/torch/csrc/jit/codegen/cuda/mutator.cpp
+++ b/torch/csrc/jit/codegen/cuda/mutator.cpp
@@ -214,8 +214,13 @@ void OptOutMutator::mutate(TernaryOp* top) {
 
 void OptOutMutator::mutate(RNGOp* rop) {
   Val* out = maybeMutated(rop->output(0));
+  auto& parameters = rop->getParameters();
+  std::vector<Val*> mutated_parameters;
+  for (auto v : parameters) {
+    mutated_parameters.emplace_back(maybeMutated(v));
+  }
 
-  if (out == rop->output(0)) {
+  if (out == rop->output(0) && mutated_parameters == parameters) {
     return;
   }
 
@@ -227,6 +232,7 @@ void OptOutMutator::mutate(RNGOp* rop) {
       rop_type,
       out,
       rop->dtype(),
+      mutated_parameters,
       rop->getRNGOffset(),
       rop->getPhiloxIndex());
 }
diff --git a/torch/csrc/jit/codegen/cuda/runtime/random_numbers.cu b/torch/csrc/jit/codegen/cuda/runtime/random_numbers.cu
index 96cec63f8d9ee..75d39e7c0c4b6 100644
--- a/torch/csrc/jit/codegen/cuda/runtime/random_numbers.cu
+++ b/torch/csrc/jit/codegen/cuda/runtime/random_numbers.cu
@@ -67,3 +67,23 @@ __device__ double rng_uniform(const uint4& rng_result, int rng_component) {
 __device__ float rng_uniformf(const uint4& rng_result, int rng_component) {
   return uniformf((&rng_result.x)[rng_component]);
 }
+
+__device__ double rng_uniform_range(
+    const uint4& rng_result,
+    int rng_component,
+    double from,
+    double to) {
+  auto range = to - from;
+  auto uniform01 = rng_uniform(rng_result, rng_component);
+  return from + range * uniform01;
+}
+
+__device__ float rng_uniform_rangef(
+    const uint4& rng_result,
+    int rng_component,
+    float from,
+    float to) {
+  auto range = to - from;
+  auto uniform01 = rng_uniformf(rng_result, rng_component);
+  return from + range * uniform01;
+}
diff --git a/torch/csrc/jit/codegen/cuda/test/test_gpu_rng.cu b/torch/csrc/jit/codegen/cuda/test/test_gpu_rng.cu
index d7a2ce72896d8..5fc61fe6a368d 100644
--- a/torch/csrc/jit/codegen/cuda/test/test_gpu_rng.cu
+++ b/torch/csrc/jit/codegen/cuda/test/test_gpu_rng.cu
@@ -329,5 +329,41 @@ TEST_F(NVFuserTest, FusionBroadcastingRNGSmemNonSquareTile_CUDA) {
   TORCH_CHECK((out.select(1, 0) == out.select(1, 4)).all().item<bool>());
 }
 
+TEST_F(NVFuserTest, FusionUniform_CUDA) {
+  std::unique_ptr<Fusion> fusion_ptr = std::make_unique<Fusion>();
+  auto fusion = fusion_ptr.get();
+  FusionGuard fg(fusion);
+
+  Int* size_val = IrBuilder::create<Int>();
+  Double* low = IrBuilder::create<Double>();
+  Double* high = IrBuilder::create<Double>();
+  fusion->addInput(size_val);
+  fusion->addInput(low);
+  fusion->addInput(high);
+  TensorView* tv0 = uniform({size_val}, low, high, DataType::Float);
+  TensorView* tv1 = uniform({size_val}, low, high, DataType::Double);
+  fusion->addOutput(tv0);
+  fusion->addOutput(tv1);
+
+  FusionExecutorCache fec(std::move(fusion_ptr));
+
+  for (int64_t size : {16, 1024, 10001, 10002, 10003, 100000, 10000001}) {
+    at::manual_seed(0);
+    auto cg_outputs = fec.runFusionWithInputs({size, -1.0, 1.0});
+
+    at::manual_seed(0);
+    auto ref0 = generate_uniform(size, kFloat) * 2 - 1;
+    auto ref1 = generate_uniform(size, kDouble) * 2 - 1;
+
+    testValidate(
+        fec.fusion(),
+        cg_outputs,
+        {size, -1.0, 1.0},
+        {ref0, ref1},
+        __LINE__,
+        __FILE__);
+  }
+}
+
 } // namespace jit
 } // namespace torch
diff --git a/torch/csrc/jit/codegen/cuda/type.cpp b/torch/csrc/jit/codegen/cuda/type.cpp
index a333eb4d87ee2..3b8f380683ed2 100644
--- a/torch/csrc/jit/codegen/cuda/type.cpp
+++ b/torch/csrc/jit/codegen/cuda/type.cpp
@@ -673,6 +673,8 @@ static const char* rng_op_type_inline_op2string(RNGOpType t) {
   switch (t) {
     case RNGOpType::Uniform:
       return "rng_uniform";
+    case RNGOpType::UniformRange:
+      return "rng_uniform_range";
     default:
       break;
   }
@@ -711,6 +713,8 @@ static const char* rng_op_type2string(RNGOpType t) {
   switch (t) {
     case RNGOpType::Uniform:
       return "rng_uniform";
+    case RNGOpType::UniformRange:
+      return "rng_uniform_range";
     default:
       TORCH_INTERNAL_ASSERT(false, "Unexpected RNGOpType");
   }
diff --git a/torch/csrc/jit/codegen/cuda/type.h b/torch/csrc/jit/codegen/cuda/type.h
index de4af398820fc..4aa894113e993 100644
--- a/torch/csrc/jit/codegen/cuda/type.h
+++ b/torch/csrc/jit/codegen/cuda/type.h
@@ -248,7 +248,8 @@ enum class BinaryOpType {
 };
 
 enum class RNGOpType {
-  Uniform,
+  Uniform, // Uniform in [0, 1)
+  UniformRange, // Uniform in [low, high]
 };
 
 // Return if output of operator should be a boolean