Electrohydrodynamics is a branch of fluid mechanics that deals with the interaction of electric forces and fluid fields. Due to the increasing use of this science, electrohyrodynamics studies have grown in recent years. Study the behavior of floating fluid droplet in another fluid is issue of electrohydrodynamics and also multiphase fluid mechanics. Multiphase fluid mechanics problems face a major challenge, and it is boundary between the two phases of the fluid. On the interface, the two fluid properties change, and there is no continuity in properties. For this reason, multiphase problems are more complicated and have more limited analytical solutions. Hence, multiphase fluids are often treated numerically or experimentally. In recent years, with the advancement of computers, numerical solutions have also been considered. In this study, numerical solutions for a droplet and a pair of floating droplets in another fluid are investigated. Governing equations of the problem are expressed and then discretized. The electric charge conservation equation is dynamically modeled and the term of electric charge convection by the fluid velocity field is considered. The electrical forces located at the free interface of two fluids are added to Navier-Stokes equations as a body force to obtain the fluid field and thus the shape of the droplet. Front tracking technique is used to solve numerical problem. In this technique, a fixed and a moving grid are used. The moving grid creates the interface of two fluids and moves with deformation of droplet. Finally, the dimensionless numbers are expressed. The effect of each of dimensionless number is investigated on the deformation of the droplet. Two dimensionless electrical Reynolds numbers have been introduced and the range of validity of the Taylor analytical results has been expressed for these two electrical Reynolds. It was observed for larger , the charge convection effects in the system are increased and the simulation results differ from Taylor's theory results. Also, if the is large, due to the assumption of the Stokes flow in Taylor's theory, the results of simulation with this theory cannot be explained. Keywords: Electrohydrodynamics, Multiphase flow, Front tracking technique, Oblate and prolate droplets, Charge conservation equation