An efficient method allowing the flexible generation of the azimuthally/radially polarized (AP/RP) beam and the hybrid polarized vortex (HPV) beam has been proposed and experimentally demonstrated by using a thinned helical fiber grating (T-HFG) with an intermediate period. This is the first time, to the best of our knowledge, that such three kinds of cylindrical vector beams can be flexibly generated by using only one fiber component. The proposed method provides the potential application of the HFG to not only the laser processing but also the optical manipulator and the optical tweezer.