To address the issues of low repetition frequency and short lifespan associated with the traditional thyratron half-sine pulse power supply used in accelerators, a new half-sine type inductive adder pulse power supply based on LC resonance was developed. The pulse generation is controlled by two types of switches: IGBTs in the primary side of the transformer serve as the active pulse turn-on switch, while the secondary side high-voltage silicon stack acts as the passive pulse turn-off switch. This design increases the possibility of using high-power IGBT with long turn-off delay in narrow pulse applications. By utilizing the saturation characteristic of the transformer core, the energy of the storage capacitor is self-supplied through reverse resonance in the primary side of the adder, reducing the circuit's charging time and thermal loss. By combining PSpice simulation and circuit experiments, a prototype of a 5-layer stack pulse power supply was developed and tested under different parameters. Experimental results have shown that compared to the traditional thyratron half-sine pulse power supply, this pulse power supply can achieve higher pulse repetition frequency and lower power loss.