This paper aims to identify and analyze project management maturity models in order to identify those best suited to be adopted in construction firms. To do so, models from papers available in academic repositories were analyzed. To be successful, the construction business deeply depends on projects outcomes; thus, the implementation of project management maturity models is important for this sector. A maturity model is a valuable technique to assess project management capabilities within a single part of an organization or to assess an organization as a whole. Its main purpose is to provide a means to create a more organized and predictable way for organizations to achieve their goals, increasing their chances of success regarding the outputs, outcomes, and benefits. In this paper, documentary research was performed to identify available project management maturity models and togather information about their performance. The information gathered was used to find elements to be compared with the identified models. Reviewing the literature, 39 project management maturity models were identified. The authors selected two PMMMs that were well fitted to assess the project management capabilities in construction firms: OPM3 and MMGP Prado.