We present a numerical simulation technique of the impact and spreading of a particulate droplet on the solid substrate. We consider the impact and spreading of a droplet that just after hits on a flat solid surface. Inertia is applied on an initially stationary droplet just for one time step for acceleration to achieve a certain initial velocity. We used the 2nd-order Adams-Bashforth/Crank-Nicholson method to solve the Navier-Stokes equation and employed the level-set method with the continuous surface stress for description of droplet spreading with interfacial tension. We focus in this work on 2D droplet problem on a solid surface. We investigated the droplet spreading by the inertial force and discussed effects of the presence of particles on the spreading behavior using an example problem. We present droplet spreading and recoiling on the solid surface. We report reduced oscillation and spread for the particulate droplet, compared with a droplet of pure fluid.