Paralleling the silicon carbide (SiC) MOSFETs is a cost-effective solution for increasing the pulse current rating. However, the device mismatch and asymmetrical circuit layout would lead to imbalance current of the paralleled SiC MOSFETs. We propose a passive approach that a coupled inductor is used for a resonant pulsed power converter. The coupled inductor enables even current sharing of the parallel SiC MOSFETs, and also helps with the pulse width adjustment, which lead to simplified system and lower cost. In this paper, the operating principle, theoretical analysis on the imbalance mechanism, and design guidelines are fully discussed and presented. Finally, simulated and experimental results are carried out to verify the analysis and effectiveness of the proposed solution.