Modular buildings are built using prefabricated units or modules that are transported and assembled on-site. The use of volumetric modules has the potential for achieving complete building systems where on-site work can be reduced to foundation, module assembly and/or the finishing of module-to-module interfaces. However, since the use of volumetric modules for multi-story building construction is relatively new, technical, logistical and regulatory issues have been reported, which constrains its widespread use. Of the limitations identified, the absence of efficient structural systems for lateral load resistance and the lack of high-performance inter-module connectivity are believed to be key enablers for the future development and promotion of such building systems. In this paper, the characteristic requirements for inter-module connections with regard to structural and functional needs are identified and presented. An overview into few key aspects regarding multi-story modular building construction is also discussed.