A theory model of the four-level type semiconductor quantum dot system under the mechanism of electromagnetically induced transparency (EIT) is proposed. The model is composed of a semiconductor quantum dot (SQD) system interacting with a weak, linear-polarized probe field with two orthogonally polarized components under the applied longitudinal magnetic field and two strong coupling control fields. By using the multiple-scale method, the stability and collision dynamical characteristics of two coupled temporal vector optical solitons in the semiconductor quantum dot media are analytically investigated. It is shown that the collision properties of two coupled temporal vector optical solitons are correlated with their initial phase shift. Especially, when two solitons components are in phase or out of phase, the collisions between them are almost elastic without energy transfer. While the initial phase shift is π 2 , they will be separated from each other after their collision and there is energy transfer between two solitons.