In order to improve the synchronous control accuracy and speed of heavy hydraulic platform, a synchronous control method based on universe adaptive fuzzy adjacent cross coupling is proposed. Taking the heavy hydraulic platform driven by 4 hydraulic cylinders as the research object, the dynamic equation of synchronous control of the hydraulic platform is established from the macro level, and the state space equation of the hydraulic cylinder is established from the micro level. The principle of adjacent cross coupling synchronous control is introduced. Aiming at the idle problem of fuzzy rules caused by the fixed scale of fuzzy control domain, an adaptive change method of domain with tracking error and error change rate is designed, and an adjacent cross coupling synchronous control method based on adaptive domain fuzzy control is proposed. A 4-cylinder drive hydraulic experimental platform is designed and verified under multi load conditions. It can be seen that the maximum pitch angle mean value, maximum roll angle mean value, maximum synchronization error mean value and adjustment time mean value of adaptive universe fuzzy control are smaller than those of traditional fuzzy control, fuzzy PID control and sliding mode control. The experimental results verify the superiority of adaptive universe fuzzy control in the control of heavy hydraulic platform.