Superfluids such as helium II consist of two interpenetrating fluids: the n
ormal fluid and the superfluid. The helium II vortex ring has generally bee
n considered merely as a superfluid object, neglecting any associated motio
n of the normal fluid. We report a three-dimensional calculation of the cou
pled motion of the normal-fluid and superfluid components, which shows that
the helium II vortex ring consists of a superfluid vortex ring accompanied
by two coaxial normal-fluid vortex rings of opposite polarity. The three v
ortex rings form a coherent, dissipative structure.