In this paper, the accelerated motion of non-spherical particles in an incompressible fluid in both the presence and the absence of electrostatic force was investigated. Differential transformation method (DTM) and a FORTRAN code was used to calculate the instantaneous velocity of particles. Regarding particlesâ€™ instantaneous velocity in the absence of electrostatic force, DTM approach was resulted in a proper accordance with previous studies which utilized variational iteration method (VIM). In addition, a good agreement between DTM and VMT was seen as sphericity of particles was varied from 0.5 to 0.9. The results showed that falling velocity increased with increasing sphericity. Moreover, the presence of electrostatic force (by assuming the electrical load equal to 1 micro colon) was compared to the one with no electrostatic force. The results showed that the falling velocity was decreased by 23.33% under the effect of an additional resistant force.