From my point of view, a hybrid catalyst is composed by two or more catalytic substances which are active for two or more reactions. On the other hand, a supported catalyst is which is placed on an inert support which improves its mechanical and catalytic properties but the support does not participate in any chemical reaction.
Daniel is right e.g. transition metals or transition metal oxides on inert supports like silica or alumina are typical illustrations of the later while hybrid catalysts that are usually blends of heterogeneous and homogeneous catalysts in an organic asymmetric transformation can be composed of chiral organocatalysts (homogeneous component) and a metal based organocatalyst (heterogeneous component).