Estimating seismic demands on structures, to predict their performance level with confidence, requires explicit consideration of the structural inelastic behav- iour: to this end, the use of nonlinear static procedures is inevitably going to be favoured over complex nonlinear time-history methods. The currently available assessment procedures have been tested predominantly against building frames. A newly derived assessment procedure is proposed within the scope of bridge applications, based on an innovative displacement-based adaptive pushover technique. The procedure, which can be incorporated into a performance- based engineering philosophy, is applicable to MDOF continuous span bridges with flexible or rigid superstructures, and for varying degrees of abutment restraint. As a first application to determine the viability of the proposed procedure, a para- metric study is conducted on a ensemble of bridges subjected to earthquake motion. It is shown that, compared to the seismic demand estimated by means of the more accurate nonlinear dynamic analysis tool, the novel static assessment method can lead to the attainment of satisfactory predictions, both in terms of displacement as well as moment demand on members.