An approach is proposed to implement the universal quantum gates between the ions confined individually in the separated traps.Instead of the typical adiabatic operations,performed for manipulating the ion-ion coupling,here the switchable couplings between ions are implemented non-adiabatically by using the fast laser puIses.Consequently,the desirable quantum gates between the ions could be implemented by using only a series of laser pulses.The proposal may be conveniently generalized to the quantum computation with the scalable ion-traps.