The present invention discloses an apparatus for controlling an H-bridge DC-AC inverter, comprising an H-bridge DC-DC converting circuit capable of converting unstable DC power into stable DC power and a full-bridge DC-AC inverting circuit capable of inverting DC power output from the H-bridge DC-DC converting circuit into AC power. The H-bridge DC-DC converting circuit comprises: a first active switching element and a second active switching element; an inductor capable of storing energy; a first passive switching element and a second passive switching element; and a first capacitor and a second capacitor. The full-bridge DC-AC inverting circuit comprises: a third active switching element, a fourth active switching element, a fifth active switching element and a sixth active switching element; an output inductor; and an output capacitor.