Fabrication laboratories (FabLabs) and makerspaces are used to transform ideas into tangible products. Used in a design–learning context, they can enhance cognitive and creative skills. Creativity is the pivotal ability to produce innovative outcomes in makerspaces, and several studies have attempted to understand the role of makerspaces and creativity in specific fields. However, a comprehensive study offering a holistic view of the contributions of the makerspaces as built environments that foster creativity is lacking. Therefore, we conducted a systematic literature review on FabLabs, makerspaces, and creativity to address this research gap. While the review was performed using five major databases, only peer reviewed journal articles were considered. The findings revealed that makerspaces help to develop person, product, physical, and social environments, as well as process aspects of creativity. Moreover, makerspaces induce problem solving, collaborative, and communication skills; they also offer appealing environments and technologies for developing creative solutions to real-life problems. We identified and analysed five major themes dealing with technical skills, technological and environmental elements, STEM learning, and skill development, and elaborated upon their importance for enhancing creativity in FabLab and makerspace environments.