Stakeholders remain skeptical in adopting modular integrated construction (MiC) because of the associated risks and uncertainties, although its benefits have been extensively documented. The unique business model of MiC nurtures several risks and uncertainties different from those of the conventional construction approach. Despite the growing attention on MiC with its market expansion, no systematic evaluation is in place to monitor its risks research progress. Accordingly, this research reviewed published literature addressing the risks associated with MiC from 1992 to 2019. Analysis reveals that the research publications on risks of MiC witnessed a steady growth, with considerable progress occurring in the last decade. Result implies that the risk of MiC has gained extra attention in the construction engineering and management domain in recent times. Existing empirical studies have focused heavily on perceived implementation risks, supply chain risks, schedule risks, investment risks, structural risks, ergonomic risks, and MiC risk management strategies, which indicate that MiC is associated with a host of risk events. The research further identified the critical risk events (CREs) in the application of MiC based on frequency of occurrence. The identified CREs contributes to the checklists of risk events in the implementation of offsite construction (OSC). The latter may be useful in risk planning, especially where the MiC is less developed, and fewer or no bespoke risk assessment exists. Research gaps in existing studies are highlighted in this research, and areas for further studies are then proposed. Thus, it makes a useful contribution to the scholarly literature on the risk of OSC and may prove useful to offsite construction researchers, industry practitioners, and project managers.