  We discuss the exceptional Laguerre and the exceptional Jacobi orthogonal
polynomials in the framework of the supersymmetric quantum mechanics (SUSYQM).
We express the differential equations for the Jacobi and the Laguerre
exceptional orthogonal polynomials (EOP) as the eigenvalue equations and make
an analogy with the time independent Schr\"odinger equation to define
"Hamiltonians" enables us to study the EOPs in the framework of the SUSYQM and
to realize the underlying shape invariance associated with such systems. We
show that the underlying shape invariance symmetry is responsible for the
solubility of the differential equations associated with these polynomials.
