A method of an aspect includes receiving an instruction. The instruction indicates a first source of a first packed data including state data elements ai, bi, ei, and fi for a current round (i) of a secure hash algorithm 2 (SHA2) hash algorithm. The instruction indicates a second source of a second packed data. The first packed data has a width in bits that is less than a combined width in bits of eight state data elements ai, bi, ci, di, ei, fi, gi, hi of the SHA2 hash algorithm. The method also includes storing a result in a destination indicated by the instruction in response to the instruction. The result includes updated state data elements ai+, bi+, ei+, and fi+ that have been updated from the corresponding state data elements ai, bi, ei, and fi by at least one round of the SHA2 hash algorithm.