<p>Reasonable selection of process parameters through chatter stability analysis can effectively avoid cutting chatter and improve machining quality. This work presents a chatter stability analysis method of the milling process based on the Clenshaw-Curtis quadrature. The milling dynamics is modeled as a time-delay differential equation with periodic coefficients. Subsequently, one milling period is divided into free vibration and forced vibration intervals. In the free vibration interval, the vibration response is solved analytically. In the forced vibration interval, the vibration response is first expressed analytically as an integral equation, and then the Clenshaw-Curtis quadrature is used to solve the integral equation. Finally, the vibration response in one milling period is obtained, and the Floquet transition matrix between adjacent milling periods is constructed accordingly. The stability of the milling process is determined based on the Floquet theory and the milling chatter stability lobe diagram (SLD) is constructed. The numerical verification results show that the method proposed in this work has high convergence rate and computational accuracy, and can be effectively used for chatter stability analysis of the milling processes.</p>