Recently, Benjamini and Hochberg (J. Roy. Statist. Soc. B 57 (1995) 289) and Benjamini and Liu (J. Statist. Plann. Inference 82 (1999) 163) proposed step-up and step-down multiple hypotheses testing procedures, respectively, for controlling the false discovery rate (FDR) when all the test statistics are independent. In this paper, we propose another step-up procedure such that the FDR is still controlled at a specified significance level. Based on a simulation study, the new procedure is more powerful than both existing step-up and step-down procedures, especially when most of the hypotheses are false.