Abstract: In ultra-relativistic heavy-ion collisions, the strong electric field can be produced by the colliding nuclei. The magnitude of the electric field E is on the order of eE~m_π² at the early stage of the collision. In quark gluon plasma (QGP), such a strong electric field can have a significant impact on the evolution of charmonia. We employ the time-dependent Schrödinger equation to study the evolution of charmonium states in the strong electric field generated by the moving charges. The electric field can result in transitions between charmonium states with different angular momenta. In order to see this effect, we make comparisons between the yields of J/ψ, ψ' and χ_c with and without the electric field. The results show that the electric field generated by the moving heavy ions induces dissociation of J/ψ. In the meantime, χ_c is generated via the transition from J/ψ by the electric field.