A Graphic Processing Unit (GPU) is a highly parallel processor designed for computer graphics. GPUs are now widely used in both personal computers and game machines, and are cheap despite their high computational power. This paper proposes a type of pseudorandom number generator, Mersenne Twister for Graphic Processor (MTGP), for efficient generation on Graphic Processing Units (GPUs). MTGP supports large state sizes such as 11213 bits, and uses the high parallelism of GPUs in computing many steps of the recursion in parallel. The second proposal is a parameter-set generator for MTGP, named MTGP Dynamic Creator (MTGPDC).