diff --git a/blend.go b/blend.go
index 5942bd2bd..f76a90b9e 100644
--- a/blend.go
+++ b/blend.go
@@ -200,6 +200,20 @@ const (
 	//     c_out = (BlendFactorDestinationRGB) × c_dst - (BlendFactorSourceRGB) × c_src
 	//     α_out = (BlendFactorDestinationAlpha) × α_dst - (BlendFactorSourceAlpha) × α_src
 	BlendOperationReverseSubtract
+
+	// BlendOperationMin represents a minimum function for the source and destination color.
+	// If BlendOperationMin is specified, blend factors are not used.
+	//
+	//     c_out = min(c_dst, c_src)
+	//     α_out = min(α_dst, α_src)
+	BlendOperationMin
+
+	// BlendOperationMax represents a maximum function for the source and destination color.
+	// If BlendOperationMax is specified, blend factors are not used.
+	//
+	//     c_out = max(c_dst, c_src)
+	//     α_out = max(α_dst, α_src)
+	BlendOperationMax
 )
 
 func (b BlendOperation) internalBlendOperation() graphicsdriver.BlendOperation {
@@ -210,6 +224,10 @@ func (b BlendOperation) internalBlendOperation() graphicsdriver.BlendOperation {
 		return graphicsdriver.BlendOperationSubtract
 	case BlendOperationReverseSubtract:
 		return graphicsdriver.BlendOperationReverseSubtract
+	case BlendOperationMin:
+		return graphicsdriver.BlendOperationMin
+	case BlendOperationMax:
+		return graphicsdriver.BlendOperationMax
 	default:
 		panic(fmt.Sprintf("ebiten: invalid blend operation: %d", b))
 	}
diff --git a/image_test.go b/image_test.go
index 52ab46539..d62b78d9e 100644
--- a/image_test.go
+++ b/image_test.go
@@ -335,13 +335,26 @@ func TestImageDispose(t *testing.T) {
 	}
 }
 
-func min(a, b int) int {
+type ordered interface {
+	~int | ~int8 | ~int16 | ~int32 | ~int64 | ~uint | ~uint8 | ~uint16 | ~uint32 | ~uint64 | ~uintptr | ~float32 | ~float64 | ~string
+}
+
+// TODO: Use the built-in function min from Go 1.21.
+func min[T ordered](a, b T) T {
 	if a < b {
 		return a
 	}
 	return b
 }
 
+// TODO: Use the built-in function max from Go 1.21.
+func max[T ordered](a, b T) T {
+	if a < b {
+		return b
+	}
+	return a
+}
+
 func TestImageBlendLighter(t *testing.T) {
 	img0, _, err := openEbitenImage()
 	if err != nil {
@@ -3687,6 +3700,87 @@ func TestImageBlendOperation(t *testing.T) {
 	}
 }
 
+func TestImageBlendOperationMinAndMax(t *testing.T) {
+	const w, h = 16, 1
+	dst := ebiten.NewImage(w, h)
+	src := ebiten.NewImage(w, h)
+
+	dstColor := func(i int) (byte, byte, byte, byte) {
+		return byte(4 * i * 17), byte(4*i*17 + 1), byte(4*i*17 + 2), byte(4*i*17 + 3)
+	}
+	srcColor := func(i int) (byte, byte, byte, byte) {
+		return byte(4 * i * 13), byte(4*i*13 + 1), byte(4*i*13 + 2), byte(4*i*13 + 3)
+	}
+
+	dstPix := make([]byte, 4*w*h)
+	for i := 0; i < w; i++ {
+		r, g, b, a := dstColor(i)
+		dstPix[4*i] = r
+		dstPix[4*i+1] = g
+		dstPix[4*i+2] = b
+		dstPix[4*i+3] = a
+	}
+	srcPix := make([]byte, 4*w*h)
+	for i := 0; i < w; i++ {
+		r, g, b, a := srcColor(i)
+		srcPix[4*i] = r
+		srcPix[4*i+1] = g
+		srcPix[4*i+2] = b
+		srcPix[4*i+3] = a
+	}
+	src.WritePixels(srcPix)
+
+	operations := []ebiten.BlendOperation{
+		ebiten.BlendOperationMin,
+		ebiten.BlendOperationMax,
+	}
+	for _, rgbOp := range operations {
+		for _, alphaOp := range operations {
+			// Reset the destination state.
+			dst.WritePixels(dstPix)
+			op := &ebiten.DrawImageOptions{}
+			// Use the default blend factors, and confirm that the factors are ignored.
+			op.Blend = ebiten.Blend{
+				BlendFactorSourceRGB:        ebiten.BlendFactorDefault,
+				BlendFactorSourceAlpha:      ebiten.BlendFactorDefault,
+				BlendFactorDestinationRGB:   ebiten.BlendFactorDefault,
+				BlendFactorDestinationAlpha: ebiten.BlendFactorDefault,
+				BlendOperationRGB:           rgbOp,
+				BlendOperationAlpha:         alphaOp,
+			}
+			dst.DrawImage(src, op)
+			for i := 0; i < w; i++ {
+				got := dst.At(i, 0).(color.RGBA)
+
+				sr, sg, sb, sa := srcColor(i)
+				dr, dg, db, da := dstColor(i)
+
+				var want color.RGBA
+				switch rgbOp {
+				case ebiten.BlendOperationMin:
+					want.R = min(sr, dr)
+					want.G = min(sg, dg)
+					want.B = min(sb, db)
+				case ebiten.BlendOperationMax:
+					want.R = max(sr, dr)
+					want.G = max(sg, dg)
+					want.B = max(sb, db)
+				}
+				switch alphaOp {
+				case ebiten.BlendOperationMin:
+					want.A = min(sa, da)
+				case ebiten.BlendOperationMax:
+					want.A = max(sa, da)
+				}
+
+				if !sameColors(got, want, 1) {
+					t.Errorf("dst.At(%d, 0): operations: %d, %d: got: %v, want: %v", i, rgbOp, alphaOp, got, want)
+				}
+			}
+		}
+	}
+}
+
 func TestImageBlendFactor(t *testing.T) {
 	if skipTooSlowTests(t) {
 		return
diff --git a/internal/graphicsdriver/blend.go b/internal/graphicsdriver/blend.go
index 39516e11b..a5681ce31 100644
--- a/internal/graphicsdriver/blend.go
+++ b/internal/graphicsdriver/blend.go
@@ -45,6 +45,8 @@ const (
 	BlendOperationAdd BlendOperation = iota
 	BlendOperationSubtract
 	BlendOperationReverseSubtract
+	BlendOperationMin
+	BlendOperationMax
 )
 
 var BlendSourceOver = Blend{
diff --git a/internal/graphicsdriver/directx/graphics11_windows.go b/internal/graphicsdriver/directx/graphics11_windows.go
index 8f301f7f8..e2002da30 100644
--- a/internal/graphicsdriver/directx/graphics11_windows.go
+++ b/internal/graphicsdriver/directx/graphics11_windows.go
@@ -106,6 +106,10 @@ func blendOperationToBlendOp11(o graphicsdriver.BlendOperation) _D3D11_BLEND_OP
 		return _D3D11_BLEND_OP_SUBTRACT
 	case graphicsdriver.BlendOperationReverseSubtract:
 		return _D3D11_BLEND_OP_REV_SUBTRACT
+	case graphicsdriver.BlendOperationMin:
+		return _D3D11_BLEND_OP_MIN
+	case graphicsdriver.BlendOperationMax:
+		return _D3D11_BLEND_OP_MAX
 	default:
 		panic(fmt.Sprintf("directx: invalid blend operation: %d", o))
 	}
diff --git a/internal/graphicsdriver/directx/pipeline12_windows.go b/internal/graphicsdriver/directx/pipeline12_windows.go
index b180d824a..35d2fbd54 100644
--- a/internal/graphicsdriver/directx/pipeline12_windows.go
+++ b/internal/graphicsdriver/directx/pipeline12_windows.go
@@ -107,6 +107,10 @@ func blendOperationToBlendOp12(o graphicsdriver.BlendOperation) _D3D12_BLEND_OP
 		return _D3D12_BLEND_OP_SUBTRACT
 	case graphicsdriver.BlendOperationReverseSubtract:
 		return _D3D12_BLEND_OP_REV_SUBTRACT
+	case graphicsdriver.BlendOperationMin:
+		return _D3D12_BLEND_OP_MIN
+	case graphicsdriver.BlendOperationMax:
+		return _D3D12_BLEND_OP_MAX
 	default:
 		panic(fmt.Sprintf("directx: invalid blend operation: %d", o))
 	}
diff --git a/internal/graphicsdriver/metal/graphics_darwin.go b/internal/graphicsdriver/metal/graphics_darwin.go
index cb65f0a35..fd8c034d4 100644
--- a/internal/graphicsdriver/metal/graphics_darwin.go
+++ b/internal/graphicsdriver/metal/graphics_darwin.go
@@ -381,6 +381,10 @@ func blendOperationToMetalBlendOperation(o graphicsdriver.BlendOperation) mtl.Bl
 		return mtl.BlendOperationSubtract
 	case graphicsdriver.BlendOperationReverseSubtract:
 		return mtl.BlendOperationReverseSubtract
+	case graphicsdriver.BlendOperationMin:
+		return mtl.BlendOperationMin
+	case graphicsdriver.BlendOperationMax:
+		return mtl.BlendOperationMax
 	default:
 		panic(fmt.Sprintf("metal: invalid blend operation: %d", o))
 	}
diff --git a/internal/graphicsdriver/opengl/context.go b/internal/graphicsdriver/opengl/context.go
index 16d0f5660..947b6a781 100644
--- a/internal/graphicsdriver/opengl/context.go
+++ b/internal/graphicsdriver/opengl/context.go
@@ -67,6 +67,10 @@ func convertBlendOperation(o graphicsdriver.BlendOperation) blendOperation {
 		return gl.FUNC_SUBTRACT
 	case graphicsdriver.BlendOperationReverseSubtract:
 		return gl.FUNC_REVERSE_SUBTRACT
+	case graphicsdriver.BlendOperationMin:
+		return gl.MIN
+	case graphicsdriver.BlendOperationMax:
+		return gl.MAX
 	default:
 		panic(fmt.Sprintf("opengl: invalid blend operation %d", o))
 	}
diff --git a/internal/graphicsdriver/opengl/gl/const.go b/internal/graphicsdriver/opengl/gl/const.go
index 342c282ca..d455309ff 100644
--- a/internal/graphicsdriver/opengl/gl/const.go
+++ b/internal/graphicsdriver/opengl/gl/const.go
@@ -40,7 +40,9 @@ const (
 	INVERT                = 0x150A
 	KEEP                  = 0x1E00
 	LINK_STATUS           = 0x8B82
+	MAX                   = 0x8008
 	MAX_TEXTURE_SIZE      = 0x0D33
+	MIN                   = 0x8007
 	NEAREST               = 0x2600
 	NO_ERROR              = 0
 	NOTEQUAL              = 0x0205