A method of an aspect includes receiving a packed data operation mask concatenation instruction. The packed data operation mask concatenation instruction indicates a first source having a first packed data operation mask, indicates a second source having a second packed data operation mask, and indicates a destination. A result is stored in the destination in response to the packed data operation mask concatenation instruction. The result includes the first packed data operation mask concatenated with the second packed data operation mask. Other methods, apparatus, systems, and instructions are disclosed.