In this paper, we propose a Special Memory for Graphics(SMGRA) which accelerates memory access time for graphics operations. The SMGRA has a rectangular array memory architecture which has already proposed by Whelan to process pixels in the rectangle area simultaneously, but the SMGRA should improve address decoding time and reduce the number of address pins by using address multiplexing scheme. The SMGRA has a Z-value comparator in the DRAM which is to convert read-modify-write Z buffer into single-write only operation that improves approximately 50% frame buffer access bandwidth.