This thesis presents an analytical method based on classical matrix methods for computing the dynamic response of elastic-plastic multi-storey building frames. The method developed is comparatively simple and is of much use for building frames having large number of storeys. By this method, response of multi-storey build­ings could be calculated on high-speed digital computers of high storage capacity. The computer program developed saves huge storage locations and thus makes it possible to analyze multi-storey frames which till now were con­sidered as very difficult. Dynamic response of a two-storey and six-storey frame are shown to demonstrate the utility of the method. / Thesis / Master of Engineering (ME)