A 783 nm femtosecond fiber laser with long repetition rate was designed and constructed. The laser was based on the amplifying loop mirror mode-locked erbium-doped fiber oscillator and the environment-stable erbium-doped fiber double-stage amplifier cascaded by pulse separator. An average power of 1.3 W, pulse width of 130 fs, repetition rate of 77.1 MHz, and 1560 nm pulse output are achieved. By frequency doubling using periodically poled lithium-niobate , an average power of 0.5 W, a pulse width of 140 fs and a pulse output of 783 nm were obtained. Furthermore, the repetition frequency of erbium-doped fiber oscillator was traced to the rubidium atomic clock by repetition frequency monitoring and phase-locked loop technology. The peak value of frequency jitter is 5 mHz and the standard deviation is 1.2 mHz within 12 hours. The laser system has the characteristics of high stability, high integration and small volume.