Tilting fiber bragg grating（TFBG）is a unique type of fiber bragg grating（FBG）. Its unique ness lies in a certain degree of inclination angle between the grating surface inscribed inside the fiber and the axial direction of the fiber. This design makes the transmission mode of optical fiber not limited to the core mode, which leads to the coupling of various modes becomes more complex. This paper describes the spectral characteristics of four small-angle TFBG of 1°, 3°, 5° and 7°. And strain sensing tests are carried out on them by cantilever beam of equal intensity. The resonance peaks drift of the cladding mode and the core mode are demodulated respectively. The test results show that the drift of cladding mode and core mode drift of small-angle TFBG with the strain is linear. The sensitivities of the cladding modes are 0.85 pm/με, 0.67 pm/με, 1.17 pm/με, 0.85 pm/με. And the sensitivities of the core modes are 1.05 pm/με, 1.04 pm/με, 1.29 pm/με, 0.86 pm/με. It has certain application prospects in the field of new sensing test such as strain.