Purpose In China, information-based construction management (ICM) has not obtained the expected results because of the benefit game between construction enterprises and the government. Promoting ICM is a long-term, complex and dynamic game process. Therefore, an evolutionary game model is established to promote ICM.Design/methodology/approach MATLAB was used to conduct evolutionary game analysis on the behavioural strategies of two parties. System stability analysis and numerical simulation were conducted. The variables affecting ICM realization were analysed and comprehensively considered. The optimal stability strategy and key variables were obtained.Findings The results show that the system includes four evolutionarily stable strategies (ESSs) with 10 decisive parameters. Information technology costs, benefits, reputation, the government intervention level, the enterprise ICM level and the degree of reward and punishment determine the ideal ESS. Increasing tangible benefits, enhancing corporate reputation, improving the level of government guidance and reducing intervention costs can promote ICM implementation. Rewards are more effective than punishments, and appropriate rewards should be determined.Research limitations/implications First, reducing labour disputes, accidents and environmental pollution brings great social and ecological benefits; hence, the recognition of external benefits and the establishment of a benefit compensation mechanism by the government will be a future focus of research (Jia et al., 2020). Second, this study considered only the government and construction enterprises, and there may be other stakeholders, such as owners and the public, in the ICM adoption process, which needs further analysis (Zhang and Li, 2022). Third, this research is based on the specific context of government intervention in ICM. The selection of parameters and the determination of values were based on the national conditions in China. Therefore, the generalizability of the research results to other countries and other political contexts needs to be further improved (Hardie et al., 2013; Martínez-Román et al., 2017). Fourth, the empirical data were collected from Shandong Province and a pilot project, and the universality of the data remains to be verified. Nevertheless, the data were used only for the initial values of the simulation, which did not affect the simulation path.Practical implications (1) This study comprehensively summarized the benefit and cost indexes for the government and enterprises to promote ICM and constructed the payment matrix model. (2) This study determined the theoretical relation that the parameters should meet when system evolves into a certain strategy, and the research findings provide recommendations for overall control for the government and enterprises to synergistically adopt the ICM. (3) The study determined the influence of the main parameters on system evolution path and identified the core parameters, thus providing targeted improvement recommendations for the government and enterprises.Social implications Real-time data-based management can ensure product quality and production safety and improve decision-making and efficiency. For the government, ICM can effectively reduce project quality and safety accidents, labour disputes, supplier mix-ups and environmental pollution, thus reducing the government's management costs and improving social benefits.Originality/value (1) Based on the challenges of ICM implementation, the payment matrix is constructed, with the cost and benefit parameters fully considered. (2) This study determines the theoretical relationship that should be met when both parties coordinate their implementation and when enterprises implement independently, and the optimal strategy is specified. (3) Incorporating an actual case, a simulation is conducted to clarify the influence of a single parameter on the evolutionary path of behaviours. (4) A decision-making basis for governments and enterprises to control and improve ICM is provided.