Impulsive Differential Equations arise naturally in the description of physical systems that are subjected to sudden changes in their states. Most often the dynamics take place during a finite time interval. This leads to the study of boundary value problems for Impulsive Differential Equations. In this thesis, we consider two-point boundary value problems for first order Impulsive Differential Equations. We state sufficient conditions on the data in order to obtain the existence of a least one solution. Our technique of proofs relies on fixed point theorems and topological transversality theorem.