The paper solves the motion of a spherical solid particle in a coquette plane fluid flow using the HPM-Padé technique which is a combination of the homotopy disturbance method and Padé approximation. . The series solutions of the torque equations are developed. Generally, the solution of the truncated series applies adequately in a small region and to overcome this limitation, the Padé techniques, which have the advantage of transforming the polynomial approximation into a rational function, are applied to the solution of the truncated series. series to improve accuracy and broaden the convergence domain. . The current results are compared with those derived from HPM and the established fourth-order Runge–Kutta method to verify the correctness of the proposed method. We see that this method allows us to obtain more appropriate results than HPM. At the heart of all the different engineering sciences, everything manifests itself in the mathematical relationship that most of these problems and phenomena are modeled by linear and non-linear equations. Therefore, many different methods have recently introduced ways to solve these equations. Analytical methods have made a comeback in research methodology after having taken a back seat to numerical techniques during the second half of the previous century. One of the recent analytical methods, namely the homotopy perturbation method (HPM), which was first proposed by Chinese mathematician Ji-Huan He [1-8], has attracted special attention researchers because it is flexible in its application and gives sufficiently precise results. results with modest effort. This method, as a powerful series-based analytical tool, has been used by many authors [9–14]. But, the convergence region of the truncated series obtained is approximately...... middle of paper ......ch. 22 (1965) 385.[31] TJ Vander Werff, Critical Reynolds number for a spherical particle in a plane 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 disruption method for the motion of a spherical solid particle in a flat coquette fluid flow, Computers and Mathematics with Applications 61 (2011) 2267-2270.[33] S. Momani, V. S. Erturk, Solution of nonlinear oscillators by modified differential transformation method, Computers and Mathematics with Applications 55 (2008) 833-842.[34] MA Noor, ST Mohyud-Din, Variational iteration method for unsteady gas flow through a porous medium using He polynomials and Pade approximants, Computers and mathematics with applications 58 (2009) 2182–2189.