The effect of a uniform static external magnetic field in the Voigt configuration on electron–ion quantum plasma oscillations in single-walled carbon nanotubes is discussed using the linearized quantum hydrodynamic model in conjunction with Maxwell's equations. Transverse magnetic waves which propagate parallel to the surface of the nanotubes, in the presence of an external magnetic field, yield a spectrum containing a quantum magnetosonic branch in addition to the magnetoplasmon branch.