A review is given of experimental and theoretical achievements in studies of multiphoton spontaneous
scattering processes in atomic and molecular media. An analysis is made of integral multiphoton
scattering, particularly of scattering in statistically inhomogeneous media with short-range quasiorder. A
study of the intensity of the noncoherent multiphoton scattering component provides direct information on
the nonlinear polarizability of atoms and molecules whilst the coherent component is associated with
various atomic and molecular correlation mechanisms. An analysis of the spectra of elastic and inelastic
multiphoton scattering processes yields information on the translational and rotational motion of the
molecules. In particular, it is possible to measure the higher-order rotational relaxation times and to
verify the adequacy of the various stochastic models of molecular motion. Observations of the spectral
lines of three- or more-photon scattering, which obeys new selection rules, yield detail on the fine
structure of the molecules and their linear and nonlinear vibrations. Examples are given of the most
interesting spectra of three- or more-photon scattering in gases, liquids, and crystals obtained in singleand
multichannel systems. The stochastic theory of multiphoton scattering in liquids is discussed, using the
spherical tensor concept. The derived general expression reduces to known results for certain cases.