The invention discloses a positive and negative pulse charging converter for a storage battery. A bilateral full-bridge LLC (Logical Link Control) resonant circuit is taken as a main charging topology, so that the defect that the implementation of negative pulses is limited by application occasions and power levels is overcome while soft switching is realized. Meanwhile, a power main circuit comprises a bridge type uncontrollable rectifying circuit and a bilateral full-bridge LLC resonant circuit. During discharging of the storage battery, the bus capacitive voltage on a high-voltage side, namely, a rectifying side is raised. During initial charging at a positive pulse charging stage, open-loop control is adopted, namely, the duty ratios and frequencies of switching tubes Q1-Q4 are kept the same as the duty ratios and frequencies in a previous charging period. Since the bus capacitive voltage is high, the charging current is increased correspondingly and decreased gradually till a charging controller works normally, and the charging current is stable. In this way, sharp pulse charging current is formed in order to enhance the repair, namely, depolarization effect of the storage battery. Moreover, both the charging current and discharging current of the storage battery are under high-frequency pulsation, and an LC filter filters higher harmonics of the charging current while smoothening the high-frequency pulsation.