Chitin and chitosan hold a great economic value as due to their versatile biological activities and chemical applications, mainly in medical. Recent advances in fermentation technologies suggest that the cultivation of selected fungi can provide an alternative source of chitin and chitosan. The amount of these polysaccharides depends of the fungi species and culture conditions. Filamentous fungi have been considered an attractive source of chitin and chitosan for industrial applications because their specific products can be manufactured under standardized conditions. This research describes an experimental study of the influence of the glucose, thiamine and asparagine concentration on chitin and chitosan production by R. arrhizus. The effect of these factors or the interaction effects between these will be observed by factorial design analysis. For chitin and chitosan production suspensions of 108 sporangioles/mL of R. arrhizus was inoculated in Erlenmeyer flask containg Hesseltine and Anderson medium, varying glucose, thiamine and asparagine concentration. These parameters were varied symmetrically around the central point according to the 23 factorial design (Glucose 20.0, 40.0 and 60.0 g/L; Tiamine 0.002, 0.005 and 0.008mg/L; Asparagine 1.0, 2.0 and 3.0g/L). An estimate of pure experimental error was calculated from four replicates run corresponding to a central point of the complete factorial. The response recorded were chitin and chitosan yield. The flasks were incubated at 28°C, 150 rpm, during 72 hours. The mycelia were harvested, washed and submitted to lyophilization process. The process of extraction of chitin and chitosan involved deproteination with sodium hydroxide solution, separation of alkali-insoluble fraction, extraction of chitosan by Acetic acid. The degree of deacetylation for chitin and chitosan were determined by infrared spectroscopy. The data were analyzed for significance by the Student’s t-test and chi-square test, using the Statistic program, version 6.0 of Statsoft Inc., USA. The best yield of biomass was obtained in experimental condition 6. (glucose 60.0g/L, Tiamine 0.008 mg/L and asparagine 1.0g/L). On the other hand the best yiels of polysaccharides were obtained in experimental condition 4 (60.0g/L glucose, 0.003mg/L thiamine and 3.0g/L asparatine) for chitosan (96 mg/g) and in experimental condition central point (40.0g/L glucose, 0.005mg/L tiamine and 2.0g/L asparagine) for chitin (202mg/g). There was no statistical difference, 95% significance, between the parameters studied for chitin and chitosan production. The obtained results suggested that the carbon and nitrogen source of the culture medium influence the chitin and chitosan production.