Emergency evacuation is a significant matter in high-rise buildings, as large numbers of occupants are in limited space. For higher safety, designers and planners of high-rise buildings use codes and prescription standards related to their jurisdiction. These standards are closely related to architectural micro spaces characteristics and interior spaces, such as restrictions on the length of escape corridors, length of common paths, number of exit routes, and the width of exits. However, the relationship between the general geometric shape of buildings and the evacuation process are major gaps in the literature. In this paper, we assessed the effect of three geometric parameters related to the general geometric shape of the building, namely the gyration radius, the average length and width of the bounding rectangle, and the ratio of the perimeter to the area of the shape on the travel time in high-rise buildings by using the agent-based method. The results show that gyration radius has the most direct relationship with the time of total travel and horizontal travel time and can be used as a suitable tool in the initial design stage and concept design used by architects and Designers of buildings.