An all fiber pulse master oscillator power amplifier (MOPA) system with Yb3+-doped fiber is reported. The seeder is a single longitudinal mode directly modulated laser diode which operates in wavelength of 1030 nm and tunable repetition rate ranging from 50 kHz to 100 kHz. This all-fiber amplifier could generate up to 16.08 kW peak power at the center wavelength of 1029.49 nm, with a pulse duration of 6.53 ns and a slope efficiency of 69% (at 50 kHz repetition rate). The output average power and pulse temporal characteristics with variation of repetition rate are also studied. The output laser wavelength is in the spectral responsivity range of lidar detectors and could be used as laser source for lidar.