The primary resonance of Rayleigh-Duffing system with fractional time-delay feedback under parametric excitation and external excitation is studied by the averaging method. Firstly, the approximate analytical solution of the system is obtained by the averaging method, and the accuracy of the analytical solution is verified by numerical method. The amplitude-frequency equation of steady-state response is established, and the stability condition of steady-state solution is obtained based on Lyapunov stability theory. Finally, the influence of system parameters on the dynamic behavior of the system is analyzed by numerical simulation and amplitude-frequency curve. The results show that the multiple solutions caused by parametric excitation amplitude and external excitation amplitude are not the same. The effect of time-delay on the amplitude-frequency curve of the system is periodic.