  We discuss an open supermembrane in the presence of a constant three-form.
The boundary conditions to ensure the kappa-invariance of the action lead to
possible Dirichlet branes. It is shown that a noncommutative (NC) M5-brane is
possible as a boundary and the self-duality condition that the flux on the
world-volume satisfies is derived from the requirement of the kappa-symmetry.
We also find that the open supermembrane can attach to each of infinitely many
M2-branes on an M5-brane, namely a strong flux limit of the NC M5-brane.
