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Single-point incremental forming (SPIF) of polymers was started back in the first decade of twenty-first century; since then, substantial studies have been performed on this topic. The present article reviews these studies and compiles the developments in a comprehensive manner. The review entails a number of forming aspects of polymers, the more important of which are deformation mechanics, failure modes, formability, forming forces, springback, and post-forming material characteristics. The agreements and disagreements amongst the researchers are recognized and critical remarks are provided. The issues are identified, and areas of future work are proposed to further comprehend knowledge on the subject in order to successfully deploy the process on industrial scale. The differences in the characteristics of SPIF of polymers and SPIF of metals are also outlined and discussed in this article. The review concludes that the operating parameters and material are the key factors that affect the process performance. Further, the innovative technology must be adopted, and a larger database should be established to enhance industrial viability of the process. [ABSTRACT FROM AUTHOR]