In this paper, we aim to extract the model parameters of the double diode photovoltaic cell. Double Diode Models (DDM) make it possible to understand the behavioral characteristics of a photovoltaic cell. The mountain gazelle optimizer carries out parameter estimation. This estimation is performed by minimizing the root mean square of the difference between the experimental and estimated current values. The mathematical expression for the current-voltage relationship of this circuit is derived based on Lambert's W function. The estimation accuracy of the proposed algorithm is tested on a standard RTC France solar cell. Based on all the results obtained, it was demonstrated that the mountain gazelle optimizer is effective and outperforms other algorithms in terms of accuracy.