We propose the novel Hybrid bus arbitration policy that prevents a priority monopolization presented in fixed priority and effectively assigns a priority to each master by mixing fixed priority and round-robin arbitrations. The proposed arbitration policy and the others were implemented through Verilog and mapped the design into Hynix 0.18um technology and compared about gate count and area overhead. In the results of performance analysis, we confirm that our proposed policy outperforms the others and effectively controls the bus utilization.