Based on the theoretical model of fifth-order Ginzburg-Landau equation with variable coefficients, and under the conditions of with or without considering the impact of fifth-order nonlinear Kerr effect, the exact soliton solution and dissipative soliton solution are obtained respectively. The numerical simulation results show that, in the inhomogeneous optical fibers, the above two kinds of pulses with soliton solutions both can propagate in the form of optical solitons. In addition, the propagation stability of optical solitons with perturbations and the interaction between two ultra-short pulses are analyzed when the fifth-order nonlinear Kerr effect is considered.