A sound processing apparatus includes a sound input unit configured to input a sound signal, a signal processor having a band-limiting filter for limiting a passing band of the sound signal, and being configured to apply a predetermined signal processing on a sound signal output from the band-limiting filter, and a controller configured to control a band width of the passing band of the band-limiting filter. The controller changes the band width of the passing band according to a level of the sound signal, and makes a speed at the time of expanding the band width faster than a speed at the time of narrowing the band width.