The ZrF4-BaF2-LaF3-AIF3-NaF (ZBLAN) fluoride glass is transparent in a wide wavelength region. Based on this property, it is suitable for many applications especially the sensing, fiber lasers and amplifiers, and infrared super continuum generation. All these applications are related closely with the dispersion characteristics of the ZBLAN fibers. In this paper, a novel method based on supercontinuum and interferometer to measure the dispersion of ZBLAN fiber was presented. The experimental and numerical calculation resultswere compared and found that they were matched well. The zero-dispersion wavelength was obtained around 1.49�m which is shorter than the material zero-dispersion wavelength 1.62�m of the ZBLAN fluoride glass.