To address the challenges of current stress optimization and efficiency improvement in diode-clamped hybrid three-level dual active bridge converters, this study proposes a dual-phase-shifting control scheme based on minimum current stress optimization. The improved snake swarm optimization algorithm is employed to search for optimal phase-shifting combinations that minimize current stress. First, to overcome the snake swarm algorithm’s susceptibility to local optima and high parameter sensitivity, the Northern Condor Algorithm’s predation mechanism is introduced to enhance global search capability and reduce parameter sensitivity, thereby improving convergence stability and search accuracy for optimal phase-shifting combinations. Additionally, constraint conditions based on current stress, power, and voltage deviations are incorporated into the penalty function to further narrow the search range. Experimental validation through simulation platforms demonstrates that the proposed control method reduces current stress by 24% at low power levels and 13% at high power levels compared to the Lagrange multiplier method. These results confirm the effectiveness of the improved strategy in minimizing current stress, validating the feasibility of the proposed control approach, and enhancing energy transfer characteristics.