This paper focuses on discussing the millimeter-wave amplitude fading problems caused by fiber chromatic dispersion for the millimeter-wave generated by optical frequency multiplication in the millimeter-wave radio-over-fiber (ROF) system. A novel millimeter-wave generation technique using dual-electrode Mach-Zehnder modulator (MZM) is proposed. Light-wave injected into dual-electrode MZM is split into two optical carriers, which are phase modulated by two microwave signals respectively and then combined together to fulfill the phase-intensity conversion and is transmitted through the fiber, and finally photo-detected to generate electrical signal consisting of harmonics of the microwave signal. The desired millimeter-wave signal is one of the harmonics and can be maximized just by adjusting the phase modulation index. The chromatic dispersion affection on millimeter-wave fading for two different bias states of the dual-electrode MZM is analyzed and compared. This study finds that the tolerance of ROF system to fiber chromatic dispersion is better when the two direct current (DC) biases of dual-electrode MZM are earthed. Optical fiber chromatic dispersion does not cause the appearance of odd harmonics, in addition, the amplitudes of even harmonics do not decline to zero. The conclusion of mathematical analysis has been verified by computer simulation and experiment.