diff --git a/mlir/include/mlir/Dialect/Arithmetic/IR/ArithmeticOps.td b/mlir/include/mlir/Dialect/Arithmetic/IR/ArithmeticOps.td
--- a/mlir/include/mlir/Dialect/Arithmetic/IR/ArithmeticOps.td
+++ b/mlir/include/mlir/Dialect/Arithmetic/IR/ArithmeticOps.td
@@ -634,7 +634,7 @@
 // MaxFOp
 //===----------------------------------------------------------------------===//
 
-def Arith_MaxFOp : Arith_FloatBinaryOp<"maxf"> {
+def Arith_MaxFOp : Arith_FloatBinaryOp<"maxf", [Commutative]> {
   let summary = "floating-point maximum operation";
   let description = [{
     Syntax:
@@ -677,7 +677,7 @@
 // MinFOp
 //===----------------------------------------------------------------------===//
 
-def Arith_MinFOp : Arith_FloatBinaryOp<"minf"> {
+def Arith_MinFOp : Arith_FloatBinaryOp<"minf", [Commutative]> {
   let summary = "floating-point minimum operation";
   let description = [{
     Syntax:
diff --git a/mlir/test/Dialect/Arithmetic/canonicalize.mlir b/mlir/test/Dialect/Arithmetic/canonicalize.mlir
--- a/mlir/test/Dialect/Arithmetic/canonicalize.mlir
+++ b/mlir/test/Dialect/Arithmetic/canonicalize.mlir
@@ -678,3 +678,16 @@
   %res = arith.sitofp %c0 : i32 to f32
   return %res : f32
 }
+
+// -----
+// CHECK-LABEL: @constant_MinMax(
+func @constant_MinMax(%arg0 : f32) -> f32 {
+  // CHECK:  %[[const:.+]] = arith.constant
+  // CHECK:  %[[min:.+]] = arith.minf %arg0, %[[const]] : f32
+  // CHECK:  %[[res:.+]] = arith.maxf %[[min]], %[[const]] : f32
+  // CHECK:   return %[[res]]
+  %const = arith.constant 0.0 : f32
+  %min = arith.minf %const, %arg0 : f32
+  %res = arith.maxf %const, %min : f32
+  return %res : f32
+}