The invention discloses an active damping resonance control method for an energy storage converter and aims to improve an active damping control method in the prior art. A grid-connected controller utilizes a proportional-integral PI control method, a voltage loop and current loop double closed-loop path is utilized, vector transformation is utilized to convert an AC quantity into a DC quantity for adjustment; correspondingly, the proportional link output of a channel is fed back through the filter capacitor current, the AC quantity is converted into the DC quantity through vector transformation, an advanced compensation controller is utilized, and compensation control for the hysteresis caused by sampling delay and digital control is performed. The advanced compensation controller is utilized for compensation control for the hysteresis caused by sampling delay and digital control, and a sampling aliasing and lag problem in practical industrial applications is solved. The method is advantaged in that a problem of resonance suppression from the single-machine resonant frequency to multi-machine resonant frequency wide frequency range existing in the whole system after multiple inverters are connected in parallel is solved, effective suppression of harmonics is achieved, the harmonic content is reduced, and adaptability to the wide frequency range is improved.