In a graphic processing system, there are provided a main memory, a buffer containing a bit map memory for holding display data, a central processing unit for performing a data process involving a translation from a virtual address into a physical address so as to access the main memory, a graphic processor connected to the main memory and buffer, for processing data into a display form, and a system bus interface connected to the central processing unit, main memory and graphic processor, capable of exchanging the data among them. Furthermore, the graphic processing system includes a drawing processing unit connected to the system bus interface, for translating the virtual address into the physical address so as to access the main memory and to process the data, a bus arbitrator for performing arbitration between demands for using the interface given from the central processing unit and graphic processor, and a suspend circuit for asserting a signal requesting that the interface is released to the central processing unit.