We consider the effects of an external magnetic field on the plasmon p
olaritons in finite quasiperiodic superlattices consisting of alternat
e degenerate semiconductor or metallic layers. The magnetic field is a
pplied parallel to the interfaces. A type of magnetoplasmon polariton
that is not present in the conductor-insulator-conductor configuration
is discussed. The spectrum is composed of three main bands in which t
he modes exhibit different localization properties. The modes at highe
r frequency are extended, but those at lower frequency are critical or
localized. Some surface modes have been found in the finite system.