Anaerobic digestion experiments were conducted to investigate feasibility of biogas production from bagasse and cow dung. Design-Expert software was used for design of experiment and optimization process. Twelve experiments using 500 ml glass bottle s digesters were conducted at temperature of 35 o C and hydraulic time of 14 days. Biogas volume was measured daily, and composition was analyzed at the end of experiment. Digester's performance was evaluated in terms of biogas volume and methane yield produced. The objective of this work was to investigate the effect of cow dung to bagasse feed ratio, digester's moisture content and media solution pH on biogas volume and methane yield. The results showed that high media solution pH and low digester's moisture content favors high biogas and methane yield. The optimum biogas volume and methane yield were found to be 305.87ml and methane yield of 28.75 ml/gVS respectively at digester's moisture content of 80.00%, media solution pH of 8.00, 4.64 g of cow dung and 5.36 g of bagasse.