In this paper, we propose a distributed coordination function with successful transmission priority (DCF-STP) based on IEEE 802.11 DCF. DCF-STP will enhance the throughput and reduce the frame discard rate (FDR) in wireless networks because the wireless station (WS) just after the successful transmission has an opportunity to transmit the next frame without contention. We also develop a performance analytical model which enables to estimate the throughput, FDR, and the average number of frame retransmissions with high accuracy for saturated wireless networks. The simulation results show the validity of the developed performance analytical model of DCF-STP and the characteristics in the coexistence of the conventional DCF and the proposed DCF-STP.