The paper solves the motion of a spherical solid particle in the flow of a flat coquette fluid using the HPM-Padé technique which is a combination of the perturbation method of homotopy and Padé approximation. Series solutions of the torque equations are developed. Generally, the truncated series solution is adequately located in a small region and to overcome this limitation Padé techniques, which have the advantage of transforming the polynomial approximation into a rational function, are applied to the series solution to improve the accuracy and broaden the convergence domain. The current results were compared with those derived from HPM and the established fourth-order Runge-Kutta method in order to ascertain the accuracy of the proposed method. It is found that this method can achieve more suitable results than HPM. At the heart of all the different engineering sciences, it all manifests in the mathematical relationship that most of these problems and phenomena are modeled by linear and nonlinear equations. Therefore, many different methods have recently introduced some ways to solve these equations. Analytical methods have returned to the fore in research methodology after taking a backseat to numerical techniques in the second half of the previous century. One of the most recent analytical methods, namely the homotopy perturbation method (HPM), first proposed by the Chinese mathematician Ji-Huan He [1–8], has attracted special attention from researchers in how flexible it is in application and provides sufficiently accurate results. results with modest effort. This method as a powerful series-based analytical tool has been used by many authors [9–14]. But the region of convergence of the truncated series obtained app...... middle of paper ...... Ch. 22 (1965) 385.[31] TJ Vander Werff, Critical Reynolds number for a spherical particle in planar coquette flow, Zeitschrift für Angewandte Mathematikund Physik 21 (1970) 825–830.[32] M. Jalaala, MG Nejad, P. Jalili, M. Esmaeilpour, H. Bararnia, E. Ghasemi, Soheil Soleimani, DD Ganji, SM Moghimi, Homotopy perturbation method for motion of a spherical solid particle in fluid flow coquette plane, Computers and Mathematics with Applications 61 (2011) 2267–2270.[33] S. Momani, VS Erturk, Solution of nonlinear oscillators by the modified differential transformation method, Computers and Mathematics with Applications 55 (2008) 833–842.[34] MA Noor, S. T. Mohyud-Din, Variational iterative method for unsteady flow of gas through a porous medium using He polynomials and Pade approximants, Computers and Mathematics with Applications 58 (2009) 2182–2189.