The present disclosure relates to an apparatus for controlling a hydraulic pump for a construction machine. The apparatus for controlling the hydraulic pump for the construction machine according to the present disclosure includes: a hydraulic pump control device configured to generate first and second pump commands for controlling first and second hydraulic pumps so that the first and second hydraulic pumps generate pump torque corresponding to a request value; and a torque controller configured to generate first and second corrected pump commands, which are the corrected first and second pump commands, by a torque inclination map generated by reflecting a dynamic characteristic of an engine, and to provide the first and second corrected pump commands to the first and second hydraulic pumps.