Today, Software Development Projects teams require that the professional profile of their members not only consists of calibration techniques, but also non-technical skills such as Interpersonal Relationships, Leadership and other Soft Skills. A systematic review of the literature (SRL) that addresses the Management of Software Development Projects was performed in order to find out how the management of Software Development projects and Interpersonal Relationships/non-technical skills/the constructs correlate. In our review, we selected twenty-three relevant articles, which were analyzed systematically, and identified significant correlations between the psychological variables and the successful management of Software Development Projects.