Vibration equations of discrete multi-degrees-of-freedom (MDOF)structural systems is system of differential equations. In linear systems,the differential equations are also linear. Various analytical andnumerical methods are available for solving the vibration equations instructural dynamics. In this paper modified differential transformmethod (MDTM) as a semi-analytical approach is generalized for thesystem of differential equations and is utilized for solving the vibrationequations of MDOF ...