The influence of optical fiber nonlinear damping on bright-like-soliton propagation properties is investigated by using perturbation theory on it's propagation properties in optical fibers, and the dynamics equations for it's parameters is derived. The result shows that optical fiber nonlinear damping effect on the amplitude, pulse width, chirp, frequency and phase, but don't on the position of the bright-soliton-like pulse in convenient monomode optical fibers.