Resonant converters can operate at high switching frequencies with low switching losses. However, in order to reduce switching losses resonant frequency has an important role in the design. In this study, a DSP based closed loop phase locked loop (PLL) control algorithm for parallel resonant inverter is designed and simulated with MATLAB/Simulink. The validity of the Simulink model of current source inverter is tested for different loads and gain values obtained from Jury's stability. The developed DSP controlled parallel resonant inverter tracks the resonant frequency and achieves soft switching.