A numerical model is used to examine the influence of nonlinear processes in the vicinity of a shallow sea bottom density front upon the depth of penetration of the wind's momentum at both superinertial and subinertial frequencies. Calculations show that nonlinear effects associated with differences in vorticity across the frontal jet significantly influence the depth of penetration of the wind's momentum and internal wave propagation. Differences in wind-induced current amplitude and phase at depth due to nonlinear effects give rise to substantial vertical velocity in the frontal region, which drives near-bed currents and forces internal waves. At superinertial frequencies, internal waves propagate away from the positive vorticity side of the front. However, at depth, internal waves are generated and current amplitude increases in the region of sloping density surfaces associated with the front. On the negative vorticity side, due to an effective inertial frequency below inertial, the wind's energy can propagate deeper into the water column. Wind forcing at subinertial frequencies does not lead to internal wave propagation. On the positive vorticity side of the front the wind's momentum cannot diffuse to depth due to turbulence suppression by stable stratification. The ability of the wind's momentum to penetrate to a greater depth in a frontal region through nonlinear effects suggests that these may be important processes influencing wind mixing in frontal regions.