A statistical approach to response prediction is a method for estimating the gross features of the response of complex structures to random excitation. A method of this type is presented and illustrated by means of two simple examples. In the first example, the mean‐square velocity at a specific point of a single homogeneous beam excited by a stochastic point force is considered; in the second, the mean power flow between two homogeneous beams weakly coupled by a spring is considered when one of the two beams is excited by a stochastic point force.