Wear is one of the most important dilemma that the industry has been facing for a long time. This issue is a major part of the destruction in industry. The main purpose of present research project is to use continuum damage mechanics into wear process. The first step to evaluate the wear of each material is to study the contact since no wear occurs without material contact. Therefore, first a contact model is utilized that can be used to obtain friction force. By attributing this model to continuous damage mechanics model, the wear coefficient between dry surfaces is obtained. Mechanical properties of the contacting materials and surface roughness were measured and used as input in the model to predict the friction coefficient. One of the advantages of using this model is that the wear coefficient can be numerically predicted unlike other methods which rely on experimental data. In order to verify the results of this model, tests were performed using pin on disk test rig for several ST37 samples. The speed and the applied load were different in each experiment. Moreover, the simulations were conducted using MATLAB software and the results were compared to empirical data. The results indicated that the wear coefficient increases with increasing friction coefficient up to reaching the stable quantity in dry slip mode. Key Words : Friction coefficient, Wear coefficient, Continuum Damage Mechanics.