The invention relates to a preparation method of a MOFs (Metal-Organic Frameworks) graphene composite material, comprising the following steps: (1) preparing graphene by taking graphite oxide as a raw material, THF (tetrahydrofuran) as a reaction medium and NaBH4 as a reducing agent; (2) adding graphene, metal salt, H2BDC (1,4-benzenedicarboxylic acid) and DABCO (1,4-diazabicyclooctane triethylenediamine) into a THF/H2O/CH3OH mixed solution, ultrasonically stirring, reacting for 12-72 h at 80-180 DEG C, and purifying to obtain the MOFs-graphene composite material. According to the preparation method, in the step (1), the experimental condition for preparing a graphene precursor is mild, the time is short, the number of layers of the prepared graphene is small, the use level of the reducing agent is reduced as THF is used as a solvent, high temperature is not needed, complex washing and drying processes are eliminated, and the environment pollution is less; in the step (2), the THF is used as an organic solvent for synthesis of the metal organic frameworks, the utilization rate of the raw material is increased, the THF solvent is low in boiling point and low in usage requirement on equipment, and an after-treatment process is simple and easy to operate. The MOFs-graphene composite material prepared by the method can be widely applied to energy devices such as a fuel-cell catalyst, a super-capacitor, and an anode material and an adsorbing material of a lithium ion battery.