Dynamic transients in a double-loop system of automatic control are under investigations exemplified #by the double-loop frequency-phase system of automatic frequency control. An algorithm of noise-immunity determination of such a system is described. As an example, the pulse and transient characteristics of the double-loop frequency-phase system of automatic frequency control are calculated. The system contains a third-order elliptic low-pass filter, which allows increasing of the system’s noise immunity. Results are obtained both with the help of direct solution of the nonlinear differential equation of the dynamic system in the Mathcad environment and using simulation in the Matlab Simulink environment.