Abstract: As a Lagrangian particle method, Smoothed Particle Hydrodynamics (SPH) method can deal with large deformation effectively without mesh distortion, which is different from traditional grid-based methods. Therefore, it is one of the most suitable methods to simulate the process of the deformation and motion of droplet on solid surface driven by shear flow. Based on the SPH methodology with continuum surface force (CSF) model for surface tension, a surface tension algorithm with boundary conditions of wall adhesion is derived using a new treatment of boundary conditions and a corrective algorithm of particles#x02019; interface normal, and by introducing Brackbill#x02019;s treatment of boundary conditions of wall adhesion. Based on the new method, the deformation and motion process of a droplet on solid surface driven by shear flow was simulated and the results were compared with the experiment data and VOF method. It is shown that the new method has higher accuracy and better stability, and it can be adapted to deal with the engineering problems such as the deformation and motion of droplets on solid surface driven by shear flow.