To provide assemble programmable and fixed function pipe-line parts of a 3D graphics processor, combining flexibility of programmable pipeline for each stage and small gate size and speed of fixed function pipeline. The graphic processor couples a programmable unit with the texture sampling unit 16 and the fixed function unit 17 in parallel. The arbiter unit 18 and the texture sampling unit 16 are directly connected and the arbiter unit 18 and the fixed function unit 17 are also directly connected.