The control problem of Hopf bifurcation for a time-delayed fractional computer virus model is considered. A periodic pulse delay feedback controller is introduced into the first equation of the uncontrolled system. The semi-analytical and semi-numerical method is used to prove the equivalence between the controlled system and its linearized average system. From this theoretical basis, the critical value of Hopf bifurcation in the controlled system is derived by the linearization method and the fractional Laplace transform, and the range of the stability domain and the variation of the stability domain with the controller parameters are obtained. The results show that the Hopf bifurcation of the system can be effectively delayed by adjusting the gain parameter value. Finally, the correctness and feasibility of the theoretical analysis are verified by appropriate numerical simulation, and the influence of different control gain parameters on the system stability domain is compared.