  We use the Dirac-Born-Infeld action on Dp-brane background to find the
tubular bound state of a D2 with $m$ D0-branes and $n$ fundamental strings. The
fundamental strings may be the circular strings along the cross section of tube
or the straight strings along the axial of the tube, and tube solutions are
parallel to the geometry of Dp-brane background. Through the detailed analyses
we show that only on the D6-brane background could we find the stable tubular
solutions. These tubular configurations are prevented form collapse by the
gravitational field on the curved Dp-brane background.
