A simple self-seeding scheme for generating dual-wavelength single mode picosecond pulses at a fixed repetition rate with a Fabry-Perot (F-P) laser diode is proposed. The F-P laser diode was self-seeded from two fiber gratings that act as wavelength filters. About 2 GHz dual-wavelength pulses were achieved in the cases of the length of exteral cavities corresponding to different wavelength were equal or different.