The information technology and communication have become an essential support for all activities of companies. They have emerged as a strategic asset in the service operations and management of the company. In this context, the key challenge for the company is to maximize its information system in order to make a major lever for achieving its objectives. However, companies face a lot of problems for the implementation of their information system. This is typically a notion of maturity that is required. In this article, we aim to study the maturity of projects and models most used in the literature, while providing a comparative study between the different models of maturity in project management.