In this letter, we propose and demonstrate a simple and novel method for fiber chromatic dispersion (CD) measurement based on microwave photonic technique. The radio frequency (RF) signal is modulated simultaneously on two light-waves with different wavelengths, and the light-wave carrying RF signals transmit through the dispersive medium under test. CD can be obtained by monitoring the power changing of the interference RF signals after photo detector. The CD values of the single-mode and dispersion compensation fibers are both measured within the wavelength range from 1 525 to 1 605 nm, which verifies the feasibility of this method.