The invention relates to a multi-point sucking disc automatic-sucking installing machine for a three-dimensional flexible gasket, and belongs to the field of mechanical manufacturing. A transverse moving device, a longitudinal ball screw used for completing longitudinal movement of T-shaped grooves, longitudinal sliding rails and the like are fixedly installed on a base; a transverse moving mechanism is vertically distributed with the longitudinal ball screw and the longitudinal sliding rails; a T-shaped groove workbench is fixed on the longitudinal sliding rails, and the T-shaped groove workbench can longitudinally move along the longitudinal sliding rails; a vertical moving device is fixed on a transverse sliding plate of the transverse moving device, and the vertical moving device can transversely move along with the transverse sliding plate; and a sucking disc is fixed on a cross arm of the vertical moving device, and can move up and down along with the cross arm, and the sucking disc is located above the T-shaped groove workbench. According to the installing machine, the gasket is converted from two-dimensional to three-dimensional, meanwhile, accurate and automatic assembly is carried out, so that labor is liberated, and assembly efficiency of a system is improved.