This paper introduce a reinforcement method for vertical extension of a building using a rahmen frame structural system. This approach has to be carried out by considering the structural safety due to the additional weights being exerted to the pre-existing building. The connections to fasten both the rahmen frames and original building were designed with the axial loads and moments acting on the rahmen frame structural system, that is extended vertically. This system reduces the structure self-weight and ensures non-additional of reinforcement.