The structural response assessment of reinforced concrete slabs subjected to impulsive loads due to a detonation of an explosive is an essential task for the design of blast resistant concrete structures. Nonlinear dynamic finite element methods and analytical modeling provide a valuable tool for predicting the response and assessing the safety of a reinforced concrete component. The proposed Finite Element analysis and analytical modeling approaches were validated using a series of shock tube tests conducted on conventionally constructed and high strength reinforced concrete slabs by the University of Missouri Kansas City at the Engineering Research and Design Center, U.S. Army Corps of Engineers in Vicksburg, Mississippi. The aim of the paper is to present the modeling techniques adopted in both the Finite Element and analytical modeling approaches in order to conduct the structural response assessment of RC slabs subjected to impulsive loads due to detonations. The numerical modeling was conducted utilizing LS-Dyna® finite element software package. The analytical approach utilized a fiber analysis method coupled with a single degree of freedom time stepping method. The constitutive models, loading and boundary conditions utilized are discussed in detail.