The invention discloses a nano-silver containing polybutylene succinate nano-fiber membrane, a preparation method thereof and application. The nano-fiber membrane has fine biocompatibility, biodegradability, excellent mechanical and machining performances and effective broad-spectrum and long-acting antibacterial performance, silver nitrate is reduced into nano-silver particles in ethanol solution by taking PBS (polybutylene succinate) as base materials and by taking PVP (polyvinylpyrrolidone) as a stabilizing agent and a reducing agent, and the nano-silver particles are loaded in nano-fibers of the PBS by electrostatic spinning to obtain the nano-silver containing polybutylene succinate nano-fiber membrane. The nano-fiber membrane can be used for wound dressings, antibacterial filter membranes and medical devices.