  The flux-tube solution in the dual Ginzburg-Landau (DGL) theory in the
Bogomol'nyi limit is studied by using the manifestly Weyl invariant form of the
DGL Lagrangian. The dual gauge symmetry is extended to $[U(1)]_m^3$, and
accordingly, there appear three different types of the flux-tube. The string
tension for each flux-tube is calculated analytically and is found to be the
same owing to the Weyl symmetry. It is suggested that the flux-tube can be
treated in quite a similar way with the Abrikosov-Nielsen-Olesen vortex in the
U(1) Abelian Higgs theory except for various types of flux-tube.
