We investigate the channeling radiation characteristics of positrons channeled in single-walled carbon nanotubes (SWCNTs). The channeled positrons move along the nanotube axis, (z-axis), with energies (10-500) MeV. This study covers SWCNTs with different chiral indices (n,m). The energy eigenvalues, in a plane normal to the nanotube axis (xy-plane), of relativistic positron channeled through SWCNTs has been used to calculate the emitted photon energy in the forward direction, i.e., channeling radiation. Also, the calculations covered both the wave length of the emitted radiation and the maximum number of bound states of the channeled positrons as a function of the nanotube radius at different incident energies. The results of the calculations showed that, in this energy range, the emitted radiation energy lies in the X-ray band and as the energy of the incident positron increase, the emitted radiation energy increase towards the gamma-ray energy band and accordingly, the wave length decrease towards the gamma-ray band for the same transition