With the increasing demand for single phase inverter with high power density in household photovoltaic system, electric vehicle (EV) and aerospace, a single phase inverter with high power density is presented in this paper based on a new type of silicon carbide (SiC) power integration module. The single-phase inverter uses DC Boost APF instead of DC side capacitance to absorb the low frequency ripple which can reduce the volume of decoupling capacitance; utilizes wide band gap devices SiC whose advantages is less loss, a high switching frequency and increases switching frequency of boost APF and inverter up to 100 kHz, which can further reduce the size of the passive components; and puts forward a novel SiC half bridge hybrid packaging structure with high power density and low stray inductance, which is only 10 mm × 20.5 mm in size and can greatly reduce the stray inductance so that the stress of switching devices, switching loss and EMI can be significantly reduced; uses direct cooling structure and optimizes heat sink and heat flow design, which makes the device realize efficient heat dissipation. Finally, based on packaging integration technology, a single-phase inverter with high power density is developed whose power is 2 kW, power density is 58.8 W/in³, CEC efficiency reaches 97.3%, maximum efficiency reaches 98.3%.