We analyze the performances of the DCF, which is the medium access control protocol of IEEE 802.11 WLAN, assuming normal traffic condition. There have been much less research efforts under the normal condition than those under the saturated one. This paper proposes an analytical method of approximating the transmission attempt rate under normal condition as proportional to that under saturated condition. In result, we show that we can obtain the transmission attempt rate and the packet collision probability which quickly converge using iterative computations of relatively simple equations, and using these results we derive the network throughput and medium access delay. Numerical results show that our method is much less complex than those based on the Markov Chain while it can predict the performances quite accurately.