Response surface methodology (RSM) is a powerful and efficient mathematical approach widely applied in the optimization of process parameters. Box-Behnken design was applied to elucidate the process parameters that significantly affect cellulase production. The experiment established the optimum conditions of incubation time (5.5 days), temperature (32.50C), pH (5.5), spore suspension (1.75ml) for solid state fermentation that led to the maximum production of cellulase at a level of 86.34 IU/gds. Good correlation was observed between the actual and predicted results indicated that the present model was applicable to production of cellulase enzyme efficiently.