Purpose Studies addressing barriers to implement lean production (LP) from the perspective of risk management (RM) have not been so usual in the literature. Re-interpreting barriers to lean as potential risks that should be avoided or mitigated, this paper aims to identify and categorise risks in the implementation of LP to propose a framework, which provides an overview of risks that negatively influence this process. Design/methodology/approach Through a systematic literature review exploring papers in the Web of Knowledge database, 69 papers were selected. A descriptive analysis was first carried out to identify the evolution in the number of papers, usual terminologies, research methods, analytic tools and the RM phases approached by each paper. After that, an in-depth study of the paper sample was conducted to find risk factors and categories. Findings The authors found a list of 61 risk factors. Then, considering the sources of the identified risk factors, six broad categories of risks were defined, namely, top management risks, human resources risks, lean knowledge risks, technical risks, supply chain risks and cultural risks. The authors also defined 34 subcategories, resulting in a risk classification framework. Research limitations/implications Based on the review, the authors identified literature gaps and provided a research agenda. A noteworthy research limitation is that the authors only selected papers about LP, so the authors might have missed some potential risks in lean implementation that may arise from other-related areas. Thus, the exploration of lean risks adopting other perspectives may constitute a promising pathway for further research. Practical implications The classification framework may help practitioners and researchers in risk identification, evaluation and mitigation. It can also enable the creation of response plans to risks in lean production implementation, as it indicates the potential risks that may be faced along with this process. Originality/value This study contributed to add the perspective of RM to the literature on lean implementation. The introduction of RM concepts and tools may generate more robust models of lean implementation. Therefore, the classification framework may represent a starting point to produce new knowledge about this research topic.