With Covid-2019 outbreak in December 2019, the number of medical infrastructure projects in infrastructure projects has increased. Although contract management is an important link of medical infrastructure project management but there is little quantitative research on the risk analysis. in this paper, firstly, three first-level risk indicators of contract risk management evaluation system are extracted by combing literature: contract drafting, contract signing and contract performance. Then, taking the contract management of a 3A hospital in Chengdu as an example, 12 second-level risk indicators are determined by fault tree method. Then, by experts scoring and statistically analyzing the risk points of 100 construction project contracts signed by the hospital from 2016 to 2020, the weight of secondary risk indicators is determined and the risk matrix is established. Then, the evaluation matrix of contract risk management evaluation system is established by 10 experts. Finally, the evaluation index system of contract risk management is obtained by combining the risk matrix with the evaluation matrix through fuzzy analytic hierarchy process, and the maximum membership degree method is adopted to complete the risk assessment. The research results show that there are high risks in the contract drafting stage and medium risks in the contract signing and contract performance stages in the contract management of a Grade A hospital in Chengdu. The author puts forward reasonable suggestions to improve the contract management level of hospital construction projects.