We numerically investigated the pulse trapping in high nonlinear silicon waveguides. The two orthogonally polarized components of the pulse can trap and copropagate as a unit in a silicon waveguide. Our numerical results show that the trapping pulse can stably propagate when the polarization mode dispersion is compensated by shifting the frequencies of two orthogonally polarized components. We also analyze the effects of the free-carrier absorption and initial polarization angles on the pulse propagation in a silicon waveguide. The proposed on-chip trapping pulse in the silicon waveguide exhibits compact configuration and can potentially have important applications in integrated optics.