<p>Analytical technique has been developed to describe the interaction between bodies immersed in a liquid exposed to an acoustic field. As an example, this technique has been applied to determine the acoustic radiation forces arising under the propagation of the plane acoustic wave. The wave has been assumed to move along the symmetry axis of two spherical liquid drops placed in a medium filled with another liquid. The acoustic radiation forces have been analyzed in three stages. At the first stage, the linear diffraction problem for the incident acoustic wave interacting with the drops has been solved using the method of separation of variables. To satisfy the boundary conditions on the spherical surfaces, the potentials of the incident and scattered waves have been expanded into series of spherical wave functions. At the second stage, the hydrodynamic forces acting on each drop have been calculated. At the third stage, these forces have been averaged over time. Analytical expression for the acoustic radiation force corresponding to the given configuration has been derived. It has been established that both magnitude and direction of the acoustic radiation force acting on each liquid drop depend strongly on the frequency of the incident wave, the densities, the sound velocities of the internal and external liquids as well as on the drop radius and the distance between the drops.</p>