In this talk, we will perform a study for the dynamics of a particle immersed in a weakly conducting fluid under the influence of external uniform electric field. The leaky dielectric model is adopted to describe the electric field and the fluid motion equation governing by the Stokes equations is highlighted to model the particle electrohydrodynamics. Our model can capture the well-known spontaneous spinning motion (Quincke rotation) for a circular-shaped particle under strong electric fields. In contrast, for a shape-anisotropic particle, our numerical results show that the particle can undergo complicated dynamics compared to circular particles. In particular, we find that the shape anisotropy provides a source of nonlinearity leading to the chaotic tumbling motion via period-doubling scenario.