A processor of an aspect includes a plurality of packed data registers, and a decode unit to decode a no-locality hint vector memory access instruction. The no-locality hint vector memory access instruction to indicate a packed data register of the plurality of packed data registers that is to have a source packed memory indices. The source packed memory indices to have a plurality of memory indices. The no-locality hint vector memory access instruction is to provide a no-locality hint to the processor for data elements that are to be accessed with the memory indices. The processor also includes an execution unit coupled with the decode unit and the plurality of packed data registers. The execution unit, in response to the no-locality hint vector memory access instruction, is to access the data elements at memory locations that are based on the memory indices.