This research has undertaken a systematic literature review (SLR) of articles focusing on the acceptance of fintech payment services by identifying 84 peer-reviewed articles published in international scientific journals from 2015 to April 2023. This paper uses the Scientific Procedures and Rationales for Systematic Literature Reviews (SPAR-4-SLR) protocol to gather relevant articles and the theory, context, constructs, and methodology (TCCM) framework to analyse them. The conducted SLR has several findings. First, the Technology Acceptance Model (TAM) is the main theory used to examine consumers’ acceptance of fintech payment services. Second, studies in this area have been conducted in 24 countries, with a focus on Indonesia, Malaysia, and China. The study themes identified include fintech payment apps, Buy Now Pay Later (BNPL), mobile payment, fintech services, e-wallet, and Islamic Fintech. Third, the perceived usefulness, trust, perceived ease of use, and attitude are the four main constructs found to have a significant association with behavioural intention. Finally, most studies (64) rely on quantitative methods, particularly questionnaires. Based on the findings, this study identifies research gaps and provides a future research agenda. The review also has practical implications for policymakers and corporations in developing strategies and policies promoting the acceptance of fintech payment services. Limitations include B2C focus, exclusion of B2B behavior, lack of targeting specific user demographics, and reliance on secondary data. These present opportunities for further research.