The invention relates to a compound heating soldering method of precise part resistance heat and supersonic vibration, comprising the following steps: preparing a welded workpiece; mounting and clamping the welded workpiece; implementing soldering; and obtaining a soldering joint. A supersonic oscillator applies pressure on the welded workpiece; under the combined action of resistance heat and high-frequency supersonic oscillator vibration in vertical direction, a brazing filler metal sheet is moltened and spreads a surface to be welded in a wetting mode; supersonic cavitation action removes air holes in the melting brazing filler metal as well as air holes on an interface between the brazing filler metal and the surface to be welded, and the soldering joint is formed. The compound heating soldering of resistance heat and supersonic vibration of the invention can obviously improve the wetting spreading effect of the resistance soldering joint brazing filler metal sheet, greatly reduces soldering joint air holes and improves the mechanical reliability of the soldering joint.