diff --git a/mlir/include/mlir/Dialect/Shape/IR/ShapeBase.td b/mlir/include/mlir/Dialect/Shape/IR/ShapeBase.td
--- a/mlir/include/mlir/Dialect/Shape/IR/ShapeBase.td
+++ b/mlir/include/mlir/Dialect/Shape/IR/ShapeBase.td
@@ -104,7 +104,13 @@
   }];
 }
 
-def Shape_ShapeOrSizeType: AnyTypeOf<[Shape_SizeType, Shape_ShapeType],
+def Shape_ShapeOrSizeType : AnyTypeOf<[Shape_SizeType, Shape_ShapeType],
   "shape or size">;
 
+def Shape_ExtentTensorType : 1DTensorOf<[Index]>;
+
+def Shape_ShapeOrExtentTensorType : AnyTypeOf<[Shape_ShapeType,
+                                               Shape_ExtentTensorType],
+                                              "shape or extent tensor">;
+
 #endif // SHAPE_BASE_TD
diff --git a/mlir/include/mlir/Dialect/Shape/IR/ShapeOps.td b/mlir/include/mlir/Dialect/Shape/IR/ShapeOps.td
--- a/mlir/include/mlir/Dialect/Shape/IR/ShapeOps.td
+++ b/mlir/include/mlir/Dialect/Shape/IR/ShapeOps.td
@@ -138,6 +138,20 @@
   let hasFolder = 1;
 }
 
+def Shape_ShapeEqOp : Shape_Op<"shape_eq", [Commutative, NoSideEffect]> {
+  let summary = "Returns whether the input shapes or extent tensors are equal";
+  let description = [{
+    Takes two shape or extent tensor operands and determines whether they are
+    equal.
+  }];
+
+  let arguments = (ins Shape_ShapeOrExtentTensorType:$lhs,
+                       Shape_ShapeOrExtentTensorType:$rhs);
+  let results = (outs I1:$result);
+
+  let assemblyFormat = "$lhs `,` $rhs attr-dict `:` type($lhs) `,` type($rhs)";
+}
+
 def Shape_FromExtentsOp : Shape_Op<"from_extents", [NoSideEffect]> {
   let summary = "Creates a shape from extents";
   let description = [{
diff --git a/mlir/test/Dialect/Shape/ops.mlir b/mlir/test/Dialect/Shape/ops.mlir
--- a/mlir/test/Dialect/Shape/ops.mlir
+++ b/mlir/test/Dialect/Shape/ops.mlir
@@ -116,3 +116,18 @@
   %rank = shape.rank %shape
   return %rank : !shape.size
 }
+
+func @shape_eq_on_shapes(%a : !shape.shape, %b : !shape.shape) -> i1 {
+  %result = shape.shape_eq %a, %b : !shape.shape, !shape.shape
+  return %result : i1
+}
+
+func @shape_eq_on_tensors(%a : tensor<?xindex>, %b : tensor<?xindex>) -> i1 {
+  %result = shape.shape_eq %a, %b : tensor<?xindex>, tensor<?xindex>
+  return %result : i1
+}
+
+func @shape_eq_on_mixed(%a : tensor<?xindex>, %b : !shape.shape) -> i1 {
+  %result = shape.shape_eq %a, %b : tensor<?xindex>, !shape.shape
+  return %result : i1
+}