NOVELTY - Producing biodiesel comprises preparing triglycerides, methanol and catalyst; mixing the triglycerides, methanol and solid state catalyst powder; heating the circulating triglycerides, methanol and catalyst, carrying out catalytic transesterification in a microwave reactor; distilling of excess methanol; filtering the solid state catalyst powder to quickly and directly capture the catalyst for reuse; allowing the liquid product to stand for 0.5-2 hour, and separating the biodiesel on the upper layer and glycerol at the lower layer.    USE - The method is useful for producing biodiesel (claimed).    ADVANTAGE - The method reduces the production cost, saves energy, and is environmentally-friendly.    DETAILED DESCRIPTION - Producing biodiesel comprises (i) preparing triglycerides, methanol and catalyst in the weight ratio of 0.5:100-10:100, where the catalyst is 75 mu m solid state catalyst micro powder; (ii) mixing the triglycerides, methanol and solid state catalyst powder, where the solid state catalyst powder increases the liquid triglyceride and methanol emulsification and dispersion, contact area and time; (iii) heating the circulating triglycerides, methanol and catalyst, carrying out catalytic transesterification in a microwave reactor at microwave frequency of 2450 MHz, at 30-80 degrees C for 5-30 minutes; (iv) distilling of excess methanol at 65-100 degrees C, for 5-20 minutes, where the methanol was evaporated to accelerate the rate of the operation cycles and extend the recovery of methanol to complete the transesterification reaction; (v) filtering the solid state catalyst powder to quickly and directly capture the catalyst for reuse; (vi) allowing the liquid product to stand for 0.5-2 hour, and separating the biodiesel on the upper layer and glycerol at the lower layer; (vii) taking out the biodiesel product. An INDEPENDENT CLAIM is also included for biodiesel producing system, comprising microwave heating catalytic reactor, to provide circulation reactants, remove methanol removal and controlling microwave energy and temperature; reaction evaporator, for adding the reactants into microwave catalytic reactor, and removing methanol in the evaporation space; circulatively conveying control system, for providing reactant feed, mixing, circulating and transporting methanol under reflux; methanol recovery condenser, for refluxing or recycling evaporated methanol by condensation; stationary separator, for separating methanol product; and solid catalytic filter, for recovering powdered solid catalyst; where the microwave heating catalytic reactor is connected to evaporator and circulatively conveying control means; the methanol recovery condenser, is connected to evaporator and circulatively conveying control means; and the solid catalytic filter is connected to circulatively conveying control means and stationary separator.