This paper describes a high frequency power supply for Particulate Matter (PM) reduction system. In the proposed reduction system, to reduce the PM emission from diesel engine, PM in the exhaust gas is burned using the induction heating unit. In this reduction system, when the metallic filter is heated up to high temperature, each value of inductance and resistance of the filter change in accordance with rise of temperature. In this paper, high frequency power supply and its control method are proposed for the PM reduction system, in which metallic filter can be heated up higher than Curie temperature. As the result by analysis, it is shown that not only an adjustment of temperature of the metallic filter at steady state but a control for a power supply to maintain stable operation even if circuit parameters are changed at the transient state of heating is enabled with Pulse Width Modulation (PWM) .