Stability of multiple testing procedures, defined as the standard deviation of total number of discoveries, can be used as an indicator of variability of multiple testing procedures. Improving stability of multiple testing procedures can help to increase the consistency of findings from replicated experiments. Benjamini-Hochbergs and Storeys q-value procedures are two commonly used multiple testing procedures for controlling false discoveries in genomic studies. Storeys q-value procedure has higher power and lower stability than Benjamini-Hochbergs procedure. To improve upon the stability of Storeys q-value procedure and maintain its high power in genomic data analysis, we propose a new multiple testing procedure, named Bon-EV, to control false discovery rate (FDR) based on Bonferronis approach.