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We put into operation a moderately original analytical modus operandi, the Homotopy decomposition method, for getting to the bottom of coupled nonlinear van der Pol type’s equations arising in chaotic synchronization dynamics of coupled non-linear oscillators. Numerical solutions are given, and some properties show signs of physically reasonable reliance on the parameter values. The trustworthiness of HDM and the lessening in calculation bestow HDM a wider applicability. On top, the calculations concerned in HDM are especially trouble-free and undemanding. It is verified that HDM is a controlling and capable utensil for nonlinear ODEs. It was also established that HDM is further professional than the PEM, ADM, VIM, HAM and HPM. We can without difficulty bring to a close that the Homotopy decomposition method is an efficient tool to solve approximate solution of nonlinear partial differential equations.