diff --git a/mlir/include/mlir/Dialect/Vector/VectorOps.td b/mlir/include/mlir/Dialect/Vector/VectorOps.td
--- a/mlir/include/mlir/Dialect/Vector/VectorOps.td
+++ b/mlir/include/mlir/Dialect/Vector/VectorOps.td
@@ -1315,10 +1315,12 @@
     VectorType getResultType() {
       return result().getType().cast<VectorType>();
     }
+    void getTransp(SmallVectorImpl<int64_t> &results);
   }];
   let assemblyFormat = [{
     $vector `,` $transp attr-dict `:` type($vector) `to` type($result)
   }];
+  let hasFolder = 1;
 }
 
 def Vector_TupleGetOp :
diff --git a/mlir/lib/Dialect/Vector/VectorOps.cpp b/mlir/lib/Dialect/Vector/VectorOps.cpp
--- a/mlir/lib/Dialect/Vector/VectorOps.cpp
+++ b/mlir/lib/Dialect/Vector/VectorOps.cpp
@@ -1524,6 +1524,23 @@
 // TransposeOp
 //===----------------------------------------------------------------------===//
 
+// Eliminates transpose operations, which produce values identical to their
+// input values. This happens when the dimensions of the input vector remain in
+// their original order after the transpose operation.
+OpFoldResult TransposeOp::fold(ArrayRef<Attribute> operands) {
+  SmallVector<int64_t, 4> transp;
+  getTransp(transp);
+
+  // Check if the permutation of the dimensions contains sequential values:
+  // {0, 1, 2, ...}.
+  for (int64_t i = 0, e = transp.size(); i < e; i++) {
+    if (transp[i] != i)
+      return {};
+  }
+
+  return vector();
+}
+
 static LogicalResult verify(TransposeOp op) {
   VectorType vectorType = op.getVectorType();
   VectorType resultType = op.getResultType();
@@ -1549,6 +1566,10 @@
   return success();
 }
 
+void TransposeOp::getTransp(SmallVectorImpl<int64_t> &results) {
+  populateFromInt64AttrArray(transp(), results);
+}
+
 //===----------------------------------------------------------------------===//
 // TupleGetOp
 //===----------------------------------------------------------------------===//
diff --git a/mlir/test/Dialect/Vector/canonicalize.mlir b/mlir/test/Dialect/Vector/canonicalize.mlir
--- a/mlir/test/Dialect/Vector/canonicalize.mlir
+++ b/mlir/test/Dialect/Vector/canonicalize.mlir
@@ -87,3 +87,72 @@
   // CHECK: vector.constant_mask [1, 1] : vector<2x1xi1>
   return %1 : vector<2x1xi1>
 }
+
+// -----
+
+// CHECK-LABEL: transpose_1D_identity
+// CHECK-SAME: ([[ARG:%.*]]: vector<4xf32>)
+func @transpose_1D_identity(%arg : vector<4xf32>) -> vector<4xf32> {
+  // CHECK-NOT: transpose
+  %0 = vector.transpose %arg, [0] : vector<4xf32> to vector<4xf32>
+  // CHECK-NEXT: return [[ARG]]
+  return %0 : vector<4xf32>
+}
+
+// -----
+
+// CHECK-LABEL: transpose_2D_identity
+// CHECK-SAME: ([[ARG:%.*]]: vector<4x3xf32>)
+func @transpose_2D_identity(%arg : vector<4x3xf32>) -> vector<4x3xf32> {
+  // CHECK-NOT: transpose
+  %0 = vector.transpose %arg, [0, 1] : vector<4x3xf32> to vector<4x3xf32>
+  // CHECK-NEXT: return [[ARG]]
+  return %0 : vector<4x3xf32>
+}
+
+// -----
+
+// CHECK-LABEL: transpose_3D_identity
+// CHECK-SAME: ([[ARG:%.*]]: vector<4x3x2xf32>)
+func @transpose_3D_identity(%arg : vector<4x3x2xf32>) -> vector<4x3x2xf32> {
+  // CHECK-NOT: transpose
+  %0 = vector.transpose %arg, [0, 1, 2] : vector<4x3x2xf32> to vector<4x3x2xf32>
+  // CHECK-NEXT: return [[ARG]]
+  return %0 : vector<4x3x2xf32>
+}
+
+// -----
+
+// CHECK-LABEL: transpose_2D_sequence
+// CHECK-SAME: ([[ARG:%.*]]: vector<4x3xf32>)
+func @transpose_2D_sequence(%arg : vector<4x3xf32>) -> vector<3x4xf32> {
+  // CHECK-NOT: transpose
+  %0 = vector.transpose %arg, [0, 1] : vector<4x3xf32> to vector<4x3xf32>
+  // CHECK: [[T1:%.*]] = vector.transpose [[ARG]], [1, 0]
+  %1 = vector.transpose %0, [1, 0] : vector<4x3xf32> to vector<3x4xf32>
+  // CHECK-NOT: transpose
+  %2 = vector.transpose %1, [0, 1] : vector<3x4xf32> to vector<3x4xf32>
+  // CHECK: [[ADD:%.*]] = addf [[T1]], [[T1]]
+  %4 = addf %1, %2 : vector<3x4xf32>
+  // CHECK-NEXT: return [[ADD]]
+  return %4 : vector<3x4xf32>
+}
+
+// -----
+
+// CHECK-LABEL: transpose_3D_sequence
+// CHECK-SAME: ([[ARG:%.*]]: vector<4x3x2xf32>)
+func @transpose_3D_sequence(%arg : vector<4x3x2xf32>) -> vector<2x3x4xf32> {
+  // CHECK: [[T0:%.*]] = vector.transpose [[ARG]], [1, 2, 0]
+  %0 = vector.transpose %arg, [1, 2, 0] : vector<4x3x2xf32> to vector<3x2x4xf32>
+  // CHECK-NOT: transpose
+  %1 = vector.transpose %0, [0, 1, 2] : vector<3x2x4xf32> to vector<3x2x4xf32>
+  // CHECK: [[T2:%.*]] = vector.transpose [[T0]], [1, 0, 2]
+  %2 = vector.transpose %1, [1, 0, 2] : vector<3x2x4xf32> to vector<2x3x4xf32>
+  // CHECK: [[ADD:%.*]] = addf [[T2]], [[T2]]
+  %3 = addf %2, %2 : vector<2x3x4xf32>
+  // CHECK-NOT: transpose
+  %4 = vector.transpose %3, [0, 1, 2] : vector<2x3x4xf32> to vector<2x3x4xf32>
+  // CHECK-NEXT: return [[ADD]]
+  return %4 : vector<2x3x4xf32>
+}