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In this paper, the problem concerned is to find the optimum values of the seven uncertain parameters ξ1, ξ2, ξ3, ξ4, λ, Rc, and β of the semi-empirical equation that defines the proton exchange membrane fuel cell (PEMFC) polarization (I/V) relationship using a recent optimization technique, the marine predator algorithm (MPA). The main target of this study is to obtain a very precise PEMFC steady state model. The MPA mimics the different random movements of marine predators when foraging and is believed to always converge to a stable value. Three popular stacks namely the Ballard Mark 5 kW, BCS stack 500 W, and Temasek 1 kW are investigated and efficiently modeled. Numerical results show the high accuracy of the MPA-based model when compared with other recently published optimization techniques.