Wireless Power Transfer (WPT) has a promising application with the rapid development of electric vehicles (EV). However, the optimization of WPT is still a challenging problem due to its large number of sub-systems. The magnetic coupling mechanism (MCM) is the key energy transmission component for WPT. In order to improve the overall performance of the WPT, an improved Marine Predators Algorithm is proposed and applied to optimize the MCM. In this paper, the detailed analysis model of the MCM using Double D coils is established, and the evaluation indexes of the WPT system are deduced. The improved Marine Predators Algorithm (TQMPA) is proposed based on the Tent map and Quasi-oppositional solutions evaluation. Verified by 20 standard test functions, the TQMPA has significantly improved the ability to escape from the local optimal solution and the convergence speed, especially for the low-dimensional unimodal problem. Then, a multidisciplinary design optimization model of a real-world MCM optimization problem based on collaborative optimization is established, which takes the transmission capability, electromagnetic safety, and miniaturization as sub-systems, respectively. The simulation results further prove that the TQMPA has a stronger optimization ability than the Marine Predators Algorithm (MPA). Under the premise of ensuring electromagnetic safety and a certain anti-offset capability, the power density of MCM is slightly reduced, and the transfer efficiency index and ferrite size have been significantly improved.