This paper deals with the response of a nonlinear system with collision subjected to a stationary random excitation. The system consists of an oscillator and reflectors at both sides. Various stochastic properties of the response are determined analytically, including the joint probability density function and the root-mean-square values for the displacement and the velocity of the oscillator, the average number of collisions per unit time, and the probability density functions, the mean values and the standard deviations of the impact velocity, the impulse and the impact acceleration. Experiments are also carried out to examine the analytical results, and good agreement between the analytical and the experimental results is obtained. Numerical results are presented to show effects of the clearance gap between the oscillator and each of the reflectors on the stochastic properties of the response. The width of the gap for snubbers is evaluated, employing the average number of collisions whose impact velocities are beyond a certain level.