In this paper

we study the breakdown of local smooth solutions for a class of nonlinear dissipative electro-hydrodynamics system. This system is a strongly coupled system by the well-known incompressible Navier-Stokes equations in hydromechanics and Poisson-Nernst-Planckequations in electrodynamics

modeling the drift

diffusion and convection phenomena of charged particle in an isothermal

incompressible and viscous fluids. Based on the Littlewood-Paley decomposition theory

the BKM's blowup criterion in terms of horizontal component of velocity field in homogeneous Triebel-Lizorkin spaces is established for local smooth solutions

and generalize the previous results. In particular

this blowup criterion reveals that the horizontal component of velocity field is more important than the density functions of charged particles in the blow-up theory of the system.