An inline Mach-Zehnder interferometer (MZI) followed by a fiber Bragg grating (FBG) structure and its novel characteristics of interference spectrum modulated by the Bragg wavelength shift were experimentally demonstrated. By changing the Bragg wavelength of the FBG, reflection cladding modes and core mode modulation was realized. In this structure, the modulation was expressed by the MIZ interference spectrum changes with the Bragg wavelength shift. Different interference intensity dip wavelengths coming from the interference of different cladding modes and core mode of the MZI were observed. A higher-order dip wavelength showed a clearly drift to the same direction with the FBG wavelength and the lower order interference dips had no obvious change. The sensitivity of this higher order dip wavelength change to the Bragg wavelength is 3.78. This dip wavelength to the FBG surrounding temperature was 41.5 pm/°C, which was much higher than that of the FBG (10.8 pm/°C in our experiments).