It is a problem frequently occurred in seismic design to control the torsional response of irregular structure under earthquake action．Based on the viscoelastic damper principle，irregularly damping struc· ture with viscoelastic damper under earthquake action is analized by using finite element soft-wal℃ (SAP2000)．The results show that the viscoelastic damper call control effectively the torsional deformation of the irregular structure under earthquake action．