With the increasing use of agile methods for software project management and due to the need for process monitoring in organisations, the objective of this paper is to identify how the association of agile software development methodologies with maturity models commonly used in the traditional methodology has been made. Therefore, we sought to identify, through a survey in scientific publications, which maturity models are used and how they are related to the practice of agile software development. It noted to be a subject of more recent study and of interest of the researchers. As a result, two very evident lines of research were identified, one for proposing new process maturity models considering agile methods, and the other about applying agile practices to obtain maturity levels defined by the CMMI.