The driving style recognition algorithm can be used to obtain the driver’s current driving style in real time. Thus, the algorithm is combined with the transmission control logic to make the shifting operation of the transmission adaptive to drivers of different driving styles. Firstly, by introducing the dynamic coefficient, the comprehensive shift schedule that match different driving styles is calculated. Next, the two transmission shift evaluation indexes, i.e., shift time and degree of jerk are determined, with the corresponding objective function established. Using this function as the constraint function of the NSGA-II multi-objective genetic optimization algorithm, the Pareto optimal solution set of the engagement speed control parameters of the two clutches under different motor output torques is obtained. The transmission shift control strategy proposed herewith is validated by the co-simulation of MATLAB/Simulink and MSC Carsim software. The co-simulation results show that the transmission can automatically adjust the shift parameters according to different types of driving styles, so that the shift schedule and shift quality of the two-speed dual-clutch transmission are in accordance with the needs of drivers with different driving styles.