The water pollution by heavy metals causes a risk to human health and for the environment. Various studies showed that a variety of materials of natural biological origin such as chitosan with the aptitude to fix significant quantities of metal cations in the waste water treatment. This work consists in study the influence of various parameters bound, with reactional medium, with metal and with biosorbant on the kinetics of biosorption starting from the synthetic solutions, in order to optimize the biosorption of metal. Initially we have proceeded with the preparation of the chitosane based membranes, such as the chitosan membrane prepared from traditional acetic acid and the membrane prepared from glycine hydrochloride. The membranes obtained were modified by two different ways: crosslinked with Glutaraldehyde and blend membranes prepared from chitosan and poly (vinyl alcohol) (PVA) in different ratios (chitosan/PVA : 100/0, 80/20, 50/50 and 0/100). These membranes were characterized by the Fourier transform infrared Spectroscopy (FT-IR), Differential Scanning Calorimetry (DSC) and to study the mechanical properties by the various techniques of rheology. Then, we have studied the kinetics of swelling of these membranes and the kinetics of biosorption of copper by the studied membranes. The results suggest that adding PVA into chitosan membrane could greatly improve chitosan membranes flexibility and wettability. The maximum capacities of swelling obtained of the membranes chitosan/pva 100/0, 80/20, 50/50, 20/80, 0/100 and chitosan/glutaraldehyde prepared from : Acetic acid are : 215.33%, 448.86%, 706.13%, 119.26%, 168.25% and 386.27%, respectively. Glycine hydrochloride are : 385.26%, 586.25%, 805.28%, 226.32%, 168.25% and 476.78%.