  We study the geodesic motion of massless particles in singly rotating black
ring spacetimes. We find stable stationary orbits of massless particles in
toroidal spiral shape in the case that the thickness parameter of a black ring
is less than a critical value. Furthermore, there exist nonstationary massless
particles bounded in a finite region outside the horizon. This is the first
example of stable bound orbits of massless particles around a black object.
