This paper discusses the novel parameter estimation approach by incorporating the Cuckoo Search Algorithm (CSA) to estimate the internal parameters of the battery occurring inside it due to chemical reactions. Several tests such as an open circuit voltage test and hybrid pulse power characterization test are conducted at variable C rates under three different temperature conditions to validate the approach. The Simulink model is developed to obtain the equivalent circuit model parameters. The objective function is taken as experimentally measured voltage and estimated voltage, the RMSE voltage error magnitude is found to be 0.28%.