  We construct new examples of exceptional Hahn and Jacobi polynomials.
Exceptional polynomials are orthogonal polynomials with respect to a measure
which are also eigenfunctions of a second order difference or differential
operator. The most apparent difference between classical or classical discrete
orthogonal polynomials and their exceptional counterparts is that the
exceptional families have gaps in their degrees, in the sense that not all
degrees are present in the sequence of polynomials. The new examples have the
novelty that they depend on an arbitrary number of continuous parameters.
