The invention relates to a two-way vibration driving method for filtering. Two-way vibration filtering is implemented by adopting a two-way vibration output filtering device, the two-way vibration output filtering device comprises a left vibration filtering mechanism and a right vibration filtering mechanism which are symmetrically installed on both sides of a driving mechanism, and the driving mechanism adopts mixed transmission of hydraulic drive and mechanical drive so as to drive the left vibration filtering mechanism and the right vibration filtering mechanism to perform vibration filtering. The driving mechanism adopts the mixed transmission of the hydraulic drive and the mechanical drive so as to drive the left vibration filtering mechanism and the right vibration filtering mechanism to perform vibration filtering, when a double-vibration filtering output driving device adopts accelerating drive, hydraulic stepless variable speed drive is adopted, the output driving speed is gradually increased from low-speed large torque, when the constant operating speed is reached, the mechanical drive is used so as to maintain the speed, and while the requirements of special working conditions are satisfied, the requirements on the mechanical driving performance can be reduced; the operating efficiency is improved through two-way vibration on the premise that an energy saving targetis realized.