Reliability technology has significant importance to ensure the safe operation of the system. To address the problems of complex system structure and lack of reliability data, a combination of Failure Mode and Effects Analysis (FMEA) and Fuzzy Fault Tree Approach (FFTA) is introduced. Firstly, the FMEA method is used to complete the qualitative analysis of the system reliability from the perspective of multi-factor failure modes, analyze the potential failure modes and failure causes of the system. And the risk matrix diagram is used to determine the degree of harm of different failure modes to the system function. Then, the system reliability is quantitatively analyzed by FFTA, and a fault tree model is established by dividing the system into "system-subsystem-component" and solving for the minimum cut set. In addition, by introducing fuzzy set theory to blur the failure probability of each bottom event and introducing triangular fuzzy function to quantitatively calculate the failure probability of the top event and the probabilistic importance of the bottom event, the weak points of each subsystem are identified. Finally, a qualitative and quantitative reliability analysis is conducted by using FMEA-FFTA method for subsea control system. Measures should be taken to focus on preventive protection and regular testing for the high risk, medium-high risk and medium risk modes of the subsea control system.