The analytical solution of the problem of forced oscillation of the solid parallelepiped on a horizontal base is presented. It is assumed that the dry friction force acts on the contact line between the body and the base and the base moves harmonically in a horizontal direction. The height of the parallelepiped is assumed to be much greater than the width. Dissipation of impact is taken into account in the framework of the hypothesis of Newton. The forced oscillation modes of parallelepiped corresponding to the main resonances are found by using the averaging method. The results are shown in the form of amplitude-frequency characteristics.