  In this note we present a simple method of constructing general conformally
invariant three point functions of operators of various spins in three
dimensions. Upon further imposing current conservation conditions, we find new
parity violating structures for the three point functions involving either the
stress-energy tensor, spin one currents, or higher spin currents. We find that
all parity preserving structures for conformally invariant three point
functions of higher spin conserved currents can be realized by free fields,
whereas there is at most one parity violating structure for three point
functions for each set of spins, which is not realized by free fields.
