A speech processing apparatus includes a plurality of microphones configured to receive a plurality of input signals, and processing circuitry configured to generate a spatial filtering signal corresponding to the plurality of input signals through spatial filtering, generate estimated noise information by integrating directional noise information representing a level of a noise signal received from a direction of interest with diffuse noise information representing levels of noise signals received from various directions based on whether the plurality of input signals have directionality, and generate an estimated speech signal by filtering the spatial filtering signal based on the estimated noise information.