The solutions of new type spatial soliton pairs supported by both linear and quadratic electro-optical effects were deduced theoretically. The influences of external electric field on the intensity envelopes of bright-bright, dark-dark and bright-dark spatial soliton pairs were analyzed by numerical simulation method. The results show that the new type bright-bright soliton pair can exist whether the external electric field is positive or negative, which is different from the soliton pair supported by the sole nonlinear effect. The soliton pair width supported by positive electric field is smaller than that of negative electric field. Because the different mechanism between the quadratic and linear electro-optical effects, the intensity of external electric field is restricted to a low certain range for dark-dark soliton pairs, and its width decrease gradually with the increasing of electric field intensity. For the new type bright-dark soliton pair, the peak of bright component is usually larger than that of dark component and the propagation instability will emerge when the propagation distance exceed a certain value under a certain amplitude perturbation.