The invention provides an SOFC cooling system. For the feature that not all components work in the full operation process of an SOFC, a DC step-down transformer DCDC, a fan and a condenser are connected in parallel, and a solenoid valve is installed in each parallel pipeline for controlling on/off of each pipeline according to a corresponding signal. Compared with the traditional SOFC cooling system, the constant-flow serial cooling system will reduce pressure losses and the power of a water pump; a solenoid valve is installed in each parallel pipeline for controlling on/off of each branch according to a corresponding signal; considering the cooling requirements of SOFC during start-up, power generation and shutdown, all components are cooled in parallel through reasonable design of each parallel pipeline, consequently to improve the cooling effect and reduce the energy consumption; the invention also discloses a fuel cell and hybrid vehicle.