We perform multiscale simulations based on the coupling of molecular dynamics and lattice-Boltzmann (LB) method to study the electrohydrodynamics of a polyampholyte-grafted spherical nanoparticle. The long-range hydrodynamic interactions are modeled by coupling the movement of particles to a LB fluid. Our results indicate that the netneutral soft particle moves with a nonzero mobility under applied electric fields. We systematically explore the effects of different parameters, including the chain length, grafting density, electric field, and charge sequence, on the structures of the polymer layer and the electrophoretic mobility of the soft particle. It shows that the mobility of nanoparticles has remarkable dependence on these parameters. We find that the When a charged colloidal particle is immersed in electrolyte solution, an electrical double layer (EDL) is formed close to the charged surface. The EDL consists of a thin ion layer tightly adsorbed to the surface (so-called Stern layer) and a diffuse layer where ions can move freely. If an external electric field is applied, the colloidal particle and its counterions can be induced to migrate in opposite directions. An electroosmotic flow (EOF) is generated around the particle, and the viscous friction primarily happens over the Debye length. The movement of charged components perturbs the solvent flow, which triggers complicated hydrodynamic interactions. The electrophoretic mobility is determined by the hydrodynamic interactions, electrostatic forces between charged species, and external electric field strength. For polymermodified soft colloids, the deformation of polymers induced by the electric field, monomer-monomer hydrodynamic interactions, and counterion shearing flow further complicated the analysis on experimental phenomena and theoretical derivation.Many physical mechanisms on microscopic levels involving the electrokinetics of charged soft particles still remain poorly understood. Computer simulation provides deeper