This paper presents a study of the cyclotron resonance of the interfac
e polarons in a semi-infinite polar crystal. In the resonant magnetic
field region the Landau-level corrections due to the resonant coupling
of the electron with the bulk longitudinal-optical (LO) phonon and th
e surface optical (SO) phonon are calculated. At resonance the n-th La
ndau level (n > 0) splits into a triplet. The cyclotron-resonance mass
of the electron is evaluated for an arbitrary magnetic-field strength
. For the interface system the magneto-optical anomalies display three
branches of the cyclotron-resonance mass spectra. The numerical resul
ts show that in the interface system the polaron effect is weakened wi
th respect to the ideal two-dimensional system. It is found that in th
e very weak magnetic fields the polaron effect is contributed mainly b
y the SO phonons, whereas in the large magnetic fields the LO-phonon c
ontribution to the polaron effect becomes predominant.