A kind of novel sampled fiber Bragg grating (SFBG) sensor for temperature and axial strain sensing is proposed and demonstrated. In order to fabricate the SFBG, we make a single helical twist structure on a standard single-mode fiber by a special fiber fusion splicer, and then inscribe a fiber Bragg grating on the twist structure based on the UV-side illumination and the phase mask technique. The reflective spectrum of the SFBG has the characteristics of equal spacing and narrow bandwidth, and can be freely modified by adjustment of the twist rate of the fiber. We experimentally investigate the temperature and axial strain responses of the SFBG, and the results show that when helical twist period is P=504.0 μm (torsional rate is α=12.47 rad/mm), the period of FBG is Λ=544.6 nm, and the device length is L=5.0 mm, the measured sensitivities for temperature and axial strain are 10.12 pm/℃ and 1.12 pm/με, respectively. Compared with the counterparts, the SFBG has the advantages of simple fabrication, high flexibility, high stability and low cost. It has potential applications in multi wavelength fiber lasers and multi-channel spectral filters.