In this paper we derive a closed-form approximate expression for the bit error probability of the MPSK modulation with diversity reception in the Suzuki fading channel which is a mixture of short term and long term fading. We showed that the proposed approximate expression was capable of efficient computation compared to the existing integral-form expression, and gives an quantitative insight how much the channel parameters degrade the system performance. Further more it is shown that an appropriate transmission power control is beneficial to the system through consideration of the approximate expression.