This article presents our research on the development of a new biocompatible hydrogel using precursors functionalized with 4-arm-PEG-Mal and chitosan-SH through the maleimide-thiol Conjugation. NMR analysis confirmed the successful synthesis of both precursors, and the hydrogels underwent several studies to examine their gelation time, swelling behavior, viscoelastic properties, and degradation rate. After conducting these studies, we found that the ideal formulas were 3% 4-arm-PEG-Mal mixed 3% chitosan-SH, which they also used for the remaining tests. Our results showed that the hydrogels were highly flexible, mimicking the extracellular matrix during the swelling study, and degraded about 65% after 2 weeks in the degradation study. Furthermore, the viscoelastic study revealed that the hydrogels produced through the maleimide-thiol Conjugation were elastic solids. Our research suggests that this new biocompatible hydrogel has great potential for biomedical applications.