The invention discloses a time-sharing bi-directional voltage-stabilizing mixed inverter and a control method thereof. The inverter comprises a rectifier inverter module, an AC variable frequency module, an isolated DC adjustable output module, a photovoltaic MPPT module, an energy storage bi-directional DCDC module, a digital signal processor, a sampling board, a first drive board and a second drive board; the mixed inverter can judge mode selection, stabilizing voltage of a DC bus and ensure uninterrupted power supply to a load according to the real-time power generation conditions and power utilization conditions. The time-sharing bi-directional working mode not only contains the economic benefit of a grid-connection mode achieved, but also contains stable output of an island mode, the solar utilization efficiency is effectively improved while uninterrupted power supply to the load is achieved, and the mixed inverter is particularly suitable for occasions where the power grid is not stable or the power supply cost of the power grid is high.