The invention discloses a torsion rubber core of a tappet of a balanced suspension. The torsion rubber core of the tappet of the balanced suspension structurally comprises a clamping ring, a dust cover, an elastic piece, a center shaft, an inner sleeve, an outer sleeve, bearings and a stabilizing device. The clamping ring is composed of a circular ring and two semicircular plates with the same size. The outer-diameter portion of the clamping ring is round, the inner-diameter portion of the clamping ring is linear vertically, the left portion and the right portion of the clamping ring are in arc shapes, the inner diameter of the clamping ring is smaller than the diameter of the center shaft, the outer-diameter portion of the clamping ring is embedded into a round hole of the dust cover, and the inner side of the clamping ring is a movably connected with the center shaft in a transition fit mode. The center shaft is sleeved with the elastic piece in a matched mode. The outer side of the clamping ring is arranged on a panel of the dust cover. The clamping ring is connected with the bearings through the dust cover. The torsion rubber core of the tappet of the balanced suspension is provided with the stabilizing device; through cross rods and elastic parts arranged on a balance frame, deformation force on the two sides is dispersed by converting elastic force of rod bodies into continuous rolling resistance, and a transverse stabilizing function is achieved.