Abstract— Accurate estimation of solar photovoltaic (PV) parameters plays a crucial role in achieving optimal performance in PV systems, which is essential for theoretical analysis and real-time applications. This paper introduces the Puzzle Optimization Algorithm (POA) as a novel approach for determining the optimum PV parameters in a PV single-diode model. The primary objective is to show the efficacy of this method by evaluating the root mean square error (RMSE) of the objective function. The investigation involves the analysis of four commercial PV modules, with a comparison of RMSE values against recently published literature. Applying the POA to these PV modules, reveals improved accuracy and minimal error in output current. Moreover, using optimized PV parameters, open-circuit voltage, short-circuit current, and maximum power are determined for all the PV modules in MATLAB and compared with manufacturer data. The obtained results unveil that the percentage relative error in both maximum power and short-circuit current is less than 1% for all of the PV modules. All in all, this investigation establishes the effectiveness of the POA in achieving precise parameter estimation for various PV modules, contributing to improved PV system design and operation.