A novel application of tilted fiber Bragg gratings(TFBG) for measuring the bending curvature and temperature simultaneously and independently is reported. The coupling-strength variations of the lower cladding modes provide information on the curvature as they are responsive to curvature changes but unresponsive to temperature, whereas the wavelength shifts of the core-mode peaks facilitate measurement of temperature because the core mode is unresponsive to curvature changes but responsive to temperature. Therefore, those features allow using a single TFBG for simultaneous measurements of temperature and bending curvature. The proposed scheme can be used to solve temperature-cross problem in the real applications.