Abstract: Scholars at home and abroad have done a great deal of work on analysing translation-torsion coupling earthquake responses of single-story eccentric factory buildings,but all of them ignored the deformation of the roof of the building, This paper simplifies the roof system of the building as an elastic shear beam,According to this scheme, general equations of motion of single-story eccentric factory buildings under the action of horizontal and torsional earthquake components have been established and discussed.In this paper, the translation-torsion coupling earthquake responses of some buildings are calculated and analysed by medal analysis procedure with the use of response spectrum without consideration of the earthquake torsional component. The conclusion of the roof is considered,and the results of calculation are more conformable to the actual earthquake dam age.Moreover,this paper presents a simplified method for calculation and points out the conditions in which the deformation of the roof can be neglected.