diff --git a/python/tvm/relay/frontend/tensorflow_ops.py b/python/tvm/relay/frontend/tensorflow_ops.py
index 3c4a9b69ea6e..be15f83faf0f 100644
--- a/python/tvm/relay/frontend/tensorflow_ops.py
+++ b/python/tvm/relay/frontend/tensorflow_ops.py
@@ -2886,6 +2886,7 @@ def _impl(inputs, attr, params, mod):
     "GreaterEqual": _broadcast("greater_equal"),
     "Identity": _identity(),
     "IdentityN": _identityn(),
+    "InvertPermutation": AttrCvt("invert_permutation"),
     "IsFinite": AttrCvt("isfinite"),
     "IsInf": AttrCvt("isinf"),
     "IsNan": AttrCvt("isnan"),
diff --git a/python/tvm/relay/op/_transform.py b/python/tvm/relay/op/_transform.py
index f87b5ed0b8ef..bee188f19364 100644
--- a/python/tvm/relay/op/_transform.py
+++ b/python/tvm/relay/op/_transform.py
@@ -178,6 +178,10 @@ def compute_unique(attrs, inputs, output_type):
 
 _reg.register_strategy("unique", strategy.unique_strategy)
 
+# invert_permutation
+_reg.register_strategy("invert_permutation", strategy.invert_permutation_strategy)
+_reg.register_shape_func("invert_permutation", False, elemwise_shape_func)
+
 #####################
 #  Shape functions  #
 #####################
diff --git a/python/tvm/relay/op/strategy/cuda.py b/python/tvm/relay/op/strategy/cuda.py
index b4db412700a7..6418f1f96b3b 100644
--- a/python/tvm/relay/op/strategy/cuda.py
+++ b/python/tvm/relay/op/strategy/cuda.py
@@ -1135,3 +1135,15 @@ def schedule_transpose_cuda(attrs, outs, target):
     ):
         return topi.cuda.schedule_transpose(outs)
     return schedule_injective(attrs, outs, target)
+
+
+@invert_permutation_strategy.register(["cuda", "gpu"])
+def invert_permutation_strategy_cuda(attrs, inputs, out_type, target):
+    """invert_permutation cuda strategy"""
+    strategy = _op.OpStrategy()
+    strategy.add_implementation(
+        wrap_compute_invert_permutation(topi.cuda.invert_permutation),
+        wrap_topi_schedule(topi.cuda.vision._default_schedule),
+        name="invert_permutation.cuda",
+    )
+    return strategy
diff --git a/python/tvm/relay/op/strategy/generic.py b/python/tvm/relay/op/strategy/generic.py
index d56820e409aa..35e5177458a5 100644
--- a/python/tvm/relay/op/strategy/generic.py
+++ b/python/tvm/relay/op/strategy/generic.py
@@ -1607,3 +1607,25 @@ def schedule_transpose(attrs, outs, target):
     """schedule transpose"""
     with target:
         return schedule_injective(attrs, outs, target)
+
+
+# invert_permutation
+def wrap_compute_invert_permutation(topi_compute):
+    """wrap invert_permutation topi compute"""
+
+    def _compute_invert_permutation(attrs, inputs, out_type):
+        return [topi_compute(inputs[0])]
+
+    return _compute_invert_permutation
+
+
+@override_native_generic_func("invert_permutation_strategy")
+def invert_permutation_strategy(attrs, inputs, out_type, target):
+    """invert_permutation generic strategy"""
+    strategy = _op.OpStrategy()
+    strategy.add_implementation(
+        wrap_compute_invert_permutation(topi.invert_permutation),
+        wrap_topi_schedule(topi.generic.schedule_injective),
+        name="invert_permutation.generic",
+    )
+    return strategy
diff --git a/python/tvm/relay/op/transform.py b/python/tvm/relay/op/transform.py
index 440d2fae042f..9cb50ed6548a 100644
--- a/python/tvm/relay/op/transform.py
+++ b/python/tvm/relay/op/transform.py
@@ -1720,3 +1720,31 @@ def unique(data, is_sorted=True, return_counts=False):
     if return_counts:
         return TupleWrapper(_make.unique(data, is_sorted, return_counts), 5)
     return TupleWrapper(_make.unique(data, is_sorted, return_counts), 4)
+
+
+def invert_permutation(data):
+    """Computes the inverse permutation of data.
+    This operation computes the inverse of an index permutation.
+    It takes a 1-D integer tensor x, which represents the indices of a zero-based
+    array and swaps each value with its index position.
+
+    For an output tensor y and an input tensor x, this operation computes the following:
+    y[x[i]] = i for i in [0, 1, ..., len(x) - 1]
+
+    Parameters
+    ----------
+    data : relay.Expr
+        The source data to be invert permuated.
+
+    Returns
+    -------
+    ret : relay.Expr
+        Invert permuated data. Has the same type as data.
+
+    Examples
+    --------
+    .. code-block:: python
+        data = [3, 4, 0, 2, 1]
+        relay.invert_permutation(data) = [2, 4, 3, 0, 1]
+    """
+    return _make.invert_permutation(data)
diff --git a/python/tvm/topi/cuda/transform.py b/python/tvm/topi/cuda/transform.py
index 89caf94bbbc1..16b1273def47 100644
--- a/python/tvm/topi/cuda/transform.py
+++ b/python/tvm/topi/cuda/transform.py
@@ -15,7 +15,7 @@
 # specific language governing permissions and limitations
 # under the License.
 """CUDA implementations of transforms"""
-
+import tvm
 from ... import te
 from ...target import Target
 from ..utils import traverse_inline
@@ -65,3 +65,74 @@ def _callback(op):
         s[c].bind(ao, thread_y)
 
     traverse_inline(s, out.op, _callback)
+
+
+def _invert_permutation_ir(data, out):
+    """Low level IR to get invert_permutation.
+
+    Parameters
+    ----------
+    data : Buffer
+        Input data. 1-D Buffer with shape [elem_num].
+
+    out : Buffer
+        1D buffer for invert permutation result with the same shape with data.
+
+    Returns
+    -------
+    stmt : Stmt
+        The result IR statement.
+    """
+    elem_num = data.shape[0]
+
+    irb = tvm.tir.ir_builder.create()
+    data = irb.buffer_ptr(data)
+    out = irb.buffer_ptr(out)
+
+    max_threads = int(Target.current(allow_none=False).max_num_threads)
+    nthread_tx = max_threads
+    nthread_bx = elem_num // max_threads + 1
+    thread_x = te.thread_axis("threadIdx.x")
+    block_x = te.thread_axis("blockIdx.x")
+    irb.scope_attr(thread_x, "thread_extent", nthread_tx)
+    irb.scope_attr(block_x, "thread_extent", nthread_bx)
+    tid = block_x * max_threads + thread_x
+
+    with irb.if_scope(tid < elem_num):
+        r_ind = data[tid]
+        out[r_ind] = tid
+    return irb.get()
+
+
+def invert_permutation(data):
+    """Compute definition of invert_permutation.
+    For an output tensor y and an input tensor x, this operation computes the following:
+
+       y[x[i]] = i for i in [0, 1, ..., len(x) - 1]
+
+    Parameters
+    ----------
+    data : tvm.te.Tensor
+        1-D tensor
+
+    Returns
+    -------
+    out : tvm.te.Tensor
+    """
+    data_buf = tvm.tir.decl_buffer(data.shape, data.dtype, "data_buf", data_alignment=8)
+    out_buf = tvm.tir.decl_buffer(data.shape, data.dtype, "out_buf", data_alignment=8)
+
+    out = te.extern(
+        [data.shape],
+        [data],
+        lambda ins, outs: _invert_permutation_ir(ins[0], outs[0]),
+        in_buffers=[
+            data_buf,
+        ],
+        out_buffers=[
+            out_buf,
+        ],
+        name="invert_permutation",
+        tag="invert_permutation_gpu",
+    )
+    return out
diff --git a/python/tvm/topi/transform.py b/python/tvm/topi/transform.py
index b4d0167be2b1..45756eadbcdb 100644
--- a/python/tvm/topi/transform.py
+++ b/python/tvm/topi/transform.py
@@ -20,6 +20,7 @@
 import tvm
 from tvm import te
 from tvm import topi
+from tvm.te import hybrid
 from . import cpp
 from . import tag
 from .utils import within_index, make_idx, const_vector
@@ -941,3 +942,31 @@ def adv_index(data, indices):
         Output tensor
     """
     return cpp.adv_index(data, indices)
+
+
+@hybrid.script
+def invert_permutation(data):
+    """Computes the inverse permutation of data.
+
+    Parameters
+    ----------
+    data : tvm.te.Tensor
+        Input data
+
+    Returns
+    -------
+    result : tvm.te.Tensor
+        Output tensor
+
+    Examples
+    --------
+    .. code-block:: python
+        data = [3, 4, 0, 2, 1]
+        topi.invert_permutation(data) = [2, 4, 3, 0, 1]
+    """
+    result = output_tensor(data.shape, data.dtype)
+    nums = data.shape[0]
+    for ind in range(nums):
+        r_ind = data[ind]
+        result[r_ind] = ind
+    return result
diff --git a/src/relay/op/tensor/transform.cc b/src/relay/op/tensor/transform.cc
index 7d40bf22bcee..5dc2a677f13f 100644
--- a/src/relay/op/tensor/transform.cc
+++ b/src/relay/op/tensor/transform.cc
@@ -3976,5 +3976,23 @@ RELAY_REGISTER_OP("unique")
     .add_type_rel("unique", UniqueRel)
     .set_support_level(3)
     .set_attr<TOpPattern>("TOpPattern", kOpaque);
+
+// invert_permutation
+Expr MakeInvertPermutation(Expr data) {
+  static const Op& op = Op::Get("invert_permutation");
+  return Call(op, {data}, Attrs(), {});
+}
+
+TVM_REGISTER_GLOBAL("relay.op._make.invert_permutation").set_body_typed(MakeInvertPermutation);
+
+RELAY_REGISTER_OP("invert_permutation")
+    .describe(R"doc(Computes the inverse permutation of a tensor.)doc" TVM_ADD_FILELINE)
+    .set_num_inputs(1)
+    .add_argument("data", "Tensor", "The input tensor.")
+    .add_type_rel("Identity", IdentityRel)
+    .set_support_level(1)
+    .set_attr<TOpPattern>("TOpPattern", kInjective)
+    .set_attr<TOpIsStateful>("TOpIsStateful", false);
+
 }  // namespace relay
 }  // namespace tvm
diff --git a/tests/python/frontend/tensorflow/test_forward.py b/tests/python/frontend/tensorflow/test_forward.py
index 57497d04706a..0ef3317525b3 100644
--- a/tests/python/frontend/tensorflow/test_forward.py
+++ b/tests/python/frontend/tensorflow/test_forward.py
@@ -5569,5 +5569,23 @@ def @main(%A: Tensor[(4, 176, 8, 8), float32]) {
     tvm.ir.assert_structural_equal(mod["main"].body, mod_golden["main"].body, map_free_vars=True)
 
 
+#######################################################################
+# invert_permutation
+# --------------------
+
+
+def test_invert_permutation():
+    """test InvertPermutation"""
+    tf.reset_default_graph()
+
+    input_shape = [6]
+    x = np.array([3, 4, 0, 2, 1, 5]).astype("int32")
+    with tf.Graph().as_default():
+        in_data = tf.placeholder(shape=input_shape, dtype="int32")
+        tf.invert_permutation(in_data)
+        out_name = "InvertPermutation:0"
+        compare_tf_with_tvm(x, "Placeholder:0", out_name, no_gpu=False)
+
+
 if __name__ == "__main__":
     pytest.main([__file__])