This　paper　estimates　the　effect　of　a　pre-hole　filled　with　high-damping　material　on　the　inelastic　response　spectrum　of　Integral　Abutment　Bridges　(IAB)　with　pile　foundation.　The　hysteretic　response　of　the　pile,　described　by　a　Winkler　beam　model,　is　obtained　from　the　piece-wise　definition　of　the　subgrade　stiffness,　calibrated　on　experimental　data.　The　pre-hole　with　damping　pre-hole　determines　a　reduction　of　the　demand　spectral　acceleration.　The　force　modification　factors　of　the　acceleration　response　spectrum　of　the　bridge　superstructure　under　a　large　set　of　strong/motion　earthquakes　are　estimated.　The　force-reduction　factors　for　the　elastic　design　of　IABs　with　damping　pre-hole　are　proposed.