In the seismic design of new structures, lack of prior knowledge about the direction of seismic excitation has become a central issue for most designers. Most of studies which examined the influence of incidence angles of bi-direction ground excitations were focused on the estimation of engineering demand parameters (EDPs) only along two orthogonal axes varying ground motion orientations. However, variations of the EDPs have not been assessed in a desired horizontal angular distance from a reference direction which could be different than the incident angle. The current study aims to assess the issue introducing spatial distribution of ductility and damage index (DI) induced to multi-storey RC structures due to incidence dependent bi-direction ground excitation. The concept of 3-D archetypical frames is employed to represent short-to-medium-rise RC buildings. Several pushover and nonlinear response history analyses are conducted using two sets of ground motions justify; LINE-HEIGHT: normal; TEXT-INDENT: 0in; MARGIN: 0in 0in 0pt; unicode-bidi: embed; DIRECTION: ltr" Key Word Directionality; Ductility; Damage Index; Pushover; Tall Building; Collapse Margin;