Global Software Development (GSD) offers many benefits. On the other hand, it also has several challenges such as its impact on software quality. The implementation of software processes improvement, such as the Capability Maturity Model Integration (CMMI), can improve quality of software products. However, CMMI as a process improvement model has been rarely discussed in GSD context. To fill this gap a systematic literature study was conducted by using Kitchenham's method. It investigated GSD research from several databases between 2013-2018. At the end there are 12 selected papers. The findings indicate that CMMI is essential for the success of GSD projects. However, it requires multiple customizations and combinations with other standards. Concept Process Areas (PAs) and maturity level from CMMI are used in new standards Software Process Improvement (SPI) with different approaches. The results of this study are potential as a reference to develop customized CMMI to increase success rate in GSD projects.