A processor includes a decode unit to decode an SM3 two round state word update instruction. The instruction is to indicate one or more source packed data operands. The source packed data operand(s) are to have eight 32-bit state words Aj, Bj, Cj, Dj, Ej, Fj, Gj, and Hj that are to correspond to a round (j) of an SM3 hash algorithm. The source packed data operand(s) are also to have a set of messages sufficient to evaluate two rounds of the SM3 hash algorithm. An execution unit coupled with the decode unit is operable, in response to the instruction, to store one or more result packed data operands, in one or more destination storage locations. The result packed data operand(s) are to have at least four two-round updated 32-bit state words Aj+2, Bj+2, Ej+2, and Fj+2, which are to correspond to a round (j+2) of the SM3 hash algorithm.