Abstarct: In recent years it has been shown that in relativistic heavy ion collisions RHIC and at the Large Hadron Collider LHC, quark-gluon plasma (QGP) is produced by the strong coupling constant. Since the coupling is strong, one can not use perturbation approach. A new method for studying QGP is to use the AdS / CFT correspondence. In this thesis we use this correspondence to calculate the jet quenching parameter. To understand jet quenching parameter, a comprehensive introduction to quark-gluon plasma is needed. First we introduce quark - gluon palasma. Then by reviewing the jet quenching parameter that is calculated using AdS/ CFT, we find that the results are in agreement with relativistic heavy ion collisions experiments at RHIC and LHC. Our results is that at strong coupling is proportional to and . In the next step we calculate the jet quenching parameter using the general metric. In the final step the jet quenching parameteris calculated by considering the gravitational corrections. The Experimental data obtained at the RHIC for jet quenching parameter is about 5 - 15 (GeV2/fm) that is larger than the value we obtained from perturbative QCD. In this thesis we compare the values of the jet quenching parameter in N = 4 supersymmetric Yang-Mills theory and IHQCD holographic model. Our conclusion is that with increasing temperature in both models, the jet quenching parameter increases with temperature, but the rate of increase in IHQCD model is less. In N = 4 Yang - Mills model the value of of jet quenching parameter is directly related to but IHQCD model is in better agreement with the experimental data and the QCD model.