The luminescence of interband transitions of electrons in size-confined systems (quantum wire, nanotube) in transversal electric and magnetic fields has been researched. The luminescence intensity, which is determined by the Fourier transform of correlation function of the product of the momentum operators, has been calculated. The frequency dependence is described as bell-shaped, it`s half-width is determined by the interaction of the carriers, that have rough surface and it depends on the magnitude of the transverse electric field E. The increasing of the electric field leads to increased probability of carrier scattering on a rough surface. This fact causes broadening of the luminescence line. The bottom size-quantized conduction band falls into the forbidden zone of the studied nanostructures when the electric field intensity increases and the extremum of the valence band rises in the forbidden zone, so the maximum of spontaneous emission band shifts to longer wavelengths. The researches have shown that when the intensity of homogeneous magnetic field H increases, the width of the spontaneous luminescence line decreases, the maximum of spontaneous emission band shifts to high frequency region. This is associated with an increase of the width of the forbidden zone of the researched quantum system.