Spatial characteristics of Thomson scattering spectra are studied for an electron moving in the circularly polarized laser field in the presence of a strong uniform magnetic field.The results show that the angular distributions of the spectra with respect to the azimuthal and polar angles exhibit different symmetries,respectively,which depend on the fields and electron parameters sensitively and significantly.Moreover,for relatively large parameters such as high laser intensity,high magnetic resonance parameter as well as large initial momentum of electron,the two lobes in spectra tend to the laser-propagating direction so that the radiation can be collimated in the forward direction.Furthermore,an important finding is that by choosing the appropriate fields and initial momentum of electron,the high frequency part of the Thomson scattering spectra can reach the frequency range of soft x-ray,in which a high radiation power per solid angle as ～1011 a.u.can be obtained.