  By using the Born-Infeld action we show that the $m$ circular fundamental
strings, $n$ D2-branes and $k$ D0-branes could become a tubular bound state
which is prevented from collapsing by the magnetic force in the Melvin
background. However, if the ratio $m/n$ is larger then a critical value the
tube will become unstable and collapse to zero radius. We make analyses to find
the critical value and tube radius therein. The tube configurations we found
are different from the well known tubular bound states of straight fundamental
strings, D0 and D2-branes, which are supported by the angular momentum.
