We investigated the stochastic resonance for dichotomous noise in a second derivative linear system, measured the average to get the amplitude gain of the output signal, and studied its relationship with the frequency of the system, the frequency of the signal, the strength and correlation time of noises. The amplitude gain of the output signal shows a nonmonotonic dependence on these factors, and the parameter of the dichotomous noise effects the peak value of stochastic resonance.