An audio signal processing apparatus performs audio signal process composed of a plurality of channels each having parameters used in the audio signal process. The audio signal processing apparatus has a plurality of channel strips, each being assigned with a channel and being provided with controls for adjusting values of the parameters of the assigned channel, and has a plurality of storing sections having different priorities relative to each other, each storing section being capable of storing a setting indicative of a channel set to a channel strip for assignment thereto. A changing section changes a setting stored in a storing section. A clearing section clears a setting stored in a storing section. An assigning section is activated when a setting stored in one of the plurality of the storing sections is changed by the changing section or cleared by the clearing section, then refers to all of the storing sections that currently store the settings for a channel strip, and assigns a channel to the channel strip according to the setting stored in a storing section having the highest priority among the storing sections referred to by the assigning section.