Numerical simulations of deformation and movement of a three-dimensional droplet on solid surfaces were carried out using the PLIC-VOF method. Many engineering and industrial applications involve movement of droplets over solid surfaces, for example, spreading of droplets on a surface in coatings process or production of droplets of water in the channels of PEM fuel cells. First, four different surface tension models are examined by simulating a three-dimensional stationary drop in a gas and it is found out that the SGIP model has the best performance as a surface tension model. The main problem in the numerical modeling of surface tension forces is the production of so-called “spurious” or “parasitic” currents, which are generated due to the different density of two phases in the interfacial region. Thus, the spurious currents and the effective parameters on these currents are studied. Then, using SGIP model and applying dynamic contact angle as a boundary condition, the dynamics of droplet impact and spreading on inclined surfaces is simulated. The effects of the impact velocity of the droplet and inclined angle on the deformation and movement of the drop are studied. Then, this model is used to simulate the deformation and movement of a droplet sitting on a solid surface while flow of surrounding fluid is moving on top of it and the fluid flow causes the droplet to deform and move. The effect of equilibrium contact angle, droplet radius, viscosity, density and velocity of the surrounding fluid on the droplet motion is considered.