Chitinase is one of the most important mycolytic enzymes with industrial significance. This enzyme is produced by a number of organisms including bacteria. In this study we describe optimization of media components with increased production of chitinase for selected bacteria Stenotrophomonas maltophilia isolated from the soil. Different components of the defined media responsible for influencing chitinase secretion by the bacterial isolate were screened using Plackett-Burman experimental design and were further optimized by Box-Behnken factorial design of response surface methodology (RSM) in liquid culture. Maximum chitinase production was predicted in medium containing chitin 4.94 g/l, maltose 5.56 g/l, yeast extract 0.62 g/l, KH2PO4 1.33 g/l and MgSO4.7H2O 0.65 g/l using Response surface plots and point prediction tool of DESIGN EXPERT 7.1.6 (Statease, USA) software.