The invention discloses an additional damping limit stop block capable of quantitatively sliding, which is innovated in that the additional damping limit stop block consists of a bottom plate, a limitbaffle plate, a sliding plate, a plurality of damping web plates, a top plate and a rubber pad; a shear bolt can limit the maximum outward sliding amount of the sliding plate; the limit baffle platecan continuously limit the maximum outward sliding amount of the sliding plate after the shear bolt is damaged; the damping web plates can absorb energy in a yield and plastic deformation mode after the sliding plate is contacted with the limit baffle plate so as to play a role in dissipating the energy. The additional damping limit stop block has the advantages that the additional damping limiting stop block capable of quantitatively sliding is provided, the energy absorption effect of the additional damping limiting stop block is good, the effect of limiting the transverse displacement of amain beam is good, the efficiency of a plate-type rubber support is fully utilized, meanwhile, a supporting body can be protected, and repair after earthquake is facilitated.