A belt continuously-variable transmission control apparatus includes: a belt continuously-variable transmission (CVT) including; a primary pulley (PP) arranged to receive a torque from a driving source (E,MG); a secondary pulley (SP) arranged to output the torque to driving wheels (FL,FR); a belt (VB) wound around the primary pulley (PP) and the secondary pulley (SP); a hydraulic pressure control section (7) configured to control a hydraulic pressure of one of the primary pulley (PP) and the secondary pulley (SP) which is a capacity side, and thereby to bring the belt (VB), the primary pulley (PP) and the secondary pulley (SP) to a slip state; and a torque control section (403,40421) configured to control the torque of the driving source (E,MG), and thereby to bring the slip state to a predetermined slip state.