Based on the adiabatic comp ression theory, adiabatic pulse comp ression using the nonlinearity-increasing fiber is suggested and investigated. The numerical results show that the pulse comp ression process satisfies the adiabatic comp ression condition in the nonlinearity-increasing fiber by selecting the approximate parameters. Even when the higher order effects is involved as the increased nonlinearity, pulse can still be well comp ressed although with the time delay caused by the Raman self-frequency-shift.