This research project analyses the high rise Southern Cross tower building where the steel frame is used or where there is an important application of the structural steel networks. The southern cross tower which is also referred to as 121 Exhibition Street is a 530 feet (one hundred and sixty-one-metre skyscraper in Melbourne, Australia. the tower was constructed in the year 2004 and consisted of thirty-nine 39 levels of the accommodations offices. The building is about seventy-five per cent possessed by the multiplex trust property. The analysis of the displacement responses and the internal force with rare earthquakes have been carried out through the static elastic-plastic pushover analysis, and the common earthquakes have been carried out by the use of the method of static elastic time-history (Stern, 2014). This section also reviews the elastic-plastic and elastic structural process and methods