In an apparatus for adjustable counterbalance mechanism and a method for controlling the apparatus, the apparatus includes a reference surface, a link, an elastic member, a wire, an idle roller and a compensation torque. The link has a first end rotationally connected to the reference surface to form a rotational center, and a weight center of the link is spaced apart from the rotational center. The elastic member has a first end combined with the link. The wire has a first side combined with a second end of the elastic member, and a second side combined with the reference surface. The idle roller is combined with the link to support a portion between first and second ends of the wire. The compensation torque controller is equipped to the link, to control the position of the idle roller and an elastic force of the elastic member.