Neutral beam (NB) and Ion Cyclotron Radio Frequency (ICRF) heating have individually been studied in great detail over a number of years both theoretically and experimentally. In addition several machines, both past and present, have used both methods simultaneously, Results from these machines indicate that, in global terms, the two systems are compatible and no serious deleterious effects have yet been observed. In particular the heating efficiency of the combined scheme is similar to that observed for each of the schemes used independently. There are, however, indications that direct coupling of ICRF power to the beam ions can occur in some circumstances. It is appropriate, therefore, to consider whether such coupling could lead to either beneficial or deleterious effects. In addition to this rather general motivation for studying combined neutral beam and ICRF heating there are a number of specific points which justify effort in this area.