Let G be a connected, simply connected, simple group over the complex numbers. Let K be the fixed point group of an involutive automorphism of G and let P be a parabolic subgroup of G such that KP has interior in G. Then we say that (G,K,P) is a spherical triple if there is a Borel subgroup of K, B, such that B has an open orbit in G/P. This condition is equivalent with having (degenerate) principal series for the non-compact real form corresponding to K be multiplicity free. In this talk we will give a classification of these triples for the exceptional groups.