diff --git a/python/tvm/relay/op/_transform.py b/python/tvm/relay/op/_transform.py
index 8726db55f8c1..c1624028fe68 100644
--- a/python/tvm/relay/op/_transform.py
+++ b/python/tvm/relay/op/_transform.py
@@ -11,6 +11,8 @@
 _reg.register_schedule("expand_dims", schedule_broadcast)
 _reg.register_schedule("reshape", schedule_injective)
 _reg.register_schedule("reshape_like", schedule_injective)
+_reg.register_schedule("full", schedule_injective)
+_reg.register_schedule("full_like", schedule_injective)
 _reg.register_schedule("cast", schedule_broadcast)
 _reg.register_schedule("strided_slice", schedule_injective)
 _reg.register_schedule("slice_like", schedule_injective)
diff --git a/src/relay/op/tensor/transform.cc b/src/relay/op/tensor/transform.cc
index 689c9c9bb8d7..53741e666f38 100644
--- a/src/relay/op/tensor/transform.cc
+++ b/src/relay/op/tensor/transform.cc
@@ -673,6 +673,14 @@ bool FullRel(const Array<Type>& types,
   return true;
 }
 
+Array<Tensor> FullCompute(const Attrs& attrs,
+                          const Array<Tensor>& inputs,
+                          const Type& out_type,
+                          const Target& target) {
+  const auto* out_ttype = out_type.as<TensorTypeNode>();
+  return { topi::full(out_ttype->shape, out_ttype->dtype, inputs[0]()) };
+}
+
 Expr MakeFull(Expr fill_value,
               Array<IndexExpr> shape,
               DataType dtype) {
@@ -696,7 +704,9 @@ RELAY_REGISTER_OP("full")
 .set_num_inputs(1)
 .add_argument("fill_value", "double", "The value to fill.")
 .set_support_level(3)
-.add_type_rel("Full", FullRel);
+.add_type_rel("Full", FullRel)
+.set_attr<FTVMCompute>("FTVMCompute", FullCompute)
+.set_attr<TOpPattern>("TOpPattern", kElemWise);
 
 bool InitOpRel(const Array<Type>& types,
                int num_inputs,
@@ -777,6 +787,13 @@ bool FullLikeRel(const Array<Type>& types,
   return true;
 }
 
+Array<Tensor> FullLikeCompute(const Attrs& attrs,
+                              const Array<Tensor>& inputs,
+                              const Type& out_type,
+                              const Target& target) {
+  return { topi::full_like(inputs[0], inputs[1]()) };
+}
+
 Expr MakeFullLike(Expr data,
                   Expr fill_value) {
   static const Op& op = Op::Get("full_like");
@@ -797,7 +814,9 @@ and type as the input array.
 .add_argument("data", "Tensor", "The input tensor.")
 .add_argument("fill_value", "double", "Scalar value to fill.")
 .set_support_level(3)
-.add_type_rel("FullLike", FullLikeRel);
+.add_type_rel("FullLike", FullLikeRel)
+.set_attr<FTVMCompute>("FTVMCompute", FullLikeCompute)
+.set_attr<TOpPattern>("TOpPattern", kElemWise);
 
 // where operator
 bool WhereRel(const Array<Type>& types,
diff --git a/tests/python/relay/test_op_level3.py b/tests/python/relay/test_op_level3.py
index 99d7b4f95de5..617b532a6a1f 100644
--- a/tests/python/relay/test_op_level3.py
+++ b/tests/python/relay/test_op_level3.py
@@ -293,7 +293,7 @@ def verify_split(dshape, indices_or_sections, ret_type, axis=None):
                      relay.ty.TensorType((d1, (d2-7), d3, d4), "float32")])),
                   axis=1)
 
-def test_full():
+def test_full_infer_type():
     # default settings: match input dtype
     x = relay.var("x", relay.TensorType((), "int8"))
     y = relay.full(x, ())
@@ -308,7 +308,22 @@ def test_full():
     assert yy.checked_type == relay.TensorType((1, 2), "int8")
 
 
-def test_full_like():
+def test_full():
+    def verify_full(fill_value, src_shape, dtype):
+        x = relay.var("x", relay.scalar_type(dtype))
+        z = relay.full(x, src_shape, dtype)
+        func = relay.Function([x], z)
+        ref_res = np.full(src_shape, fill_value)
+        for target, ctx in ctx_list():
+            for kind in ["graph", "debug"]:
+                intrp = relay.create_executor(kind, ctx=ctx, target=target)
+                op_res = intrp.evaluate(func)(fill_value)
+                tvm.testing.assert_allclose(op_res.asnumpy(), ref_res, rtol=1e-5)
+    verify_full(4, (1, 3, 4, 4), "int32")
+    verify_full(4.0, (1, 4), "float32")
+
+
+def test_full_like_infer_type():
     # concrete shape
     base = relay.var("base", relay.TensorType((1, 2, 3), "float32"))
     fill = relay.var("fill", relay.TensorType((), "float32"))
@@ -324,6 +339,26 @@ def test_full_like():
     yy = relay.ir_pass.infer_type(y)
     assert yy.checked_type == relay.TensorType((n, c, h, w), "float32")
 
+
+def test_full_like():
+    def verify_full_like(base, fill_value, dtype):
+        x_data = np.random.uniform(low=-1, high=1, size=base).astype(dtype)
+        x = relay.var("x", relay.TensorType(base, dtype))
+        y = relay.var("y", relay.scalar_type(dtype))
+        z = relay.full_like(x, y)
+
+        func = relay.Function([x, y], z)
+        ref_res = np.full_like(x_data, fill_value)
+
+        for target, ctx in ctx_list():
+            for kind in ["graph", "debug"]:
+                intrp = relay.create_executor(kind, ctx=ctx, target=target)
+                op_res = intrp.evaluate(func)(x_data, fill_value)
+                tvm.testing.assert_allclose(op_res.asnumpy(), ref_res, rtol=1e-5)
+    verify_full_like((1, 3, 4, 4), 4, "int32")
+    verify_full_like((1, 1), 44.0, "float32")
+
+
 def test_infer_type_leaky_relu():
     n, c , h, w = tvm.var("n"), tvm.var("c"), tvm.var("h"), tvm.var("w")
     x = relay.var("x", relay.TensorType((n, c, h, w), "float32"))
@@ -412,7 +447,9 @@ def test_infer_type_prelu():
     test_reshape_like()
     test_take_infer_type()
     test_take()
+    test_full_infer_type()
     test_full()
+    test_full_like_infer_type()
     test_full_like()
     test_infer_type_leaky_relu()
     test_infer_type_prelu()