  We show that the gauge, gravitational (tangent-bundle) and their mixed
anomalies arising from the localized modes near a 5-brane in the SO(32)
heterotic string theory cancel with the anomaly inflow from the bulk with the
use of the Green-Schwarz mechanism on the brane, similarly to the E_8 x E_8
5-brane case. We also compare our result with Mourad's analysis performed in
the small-instanton limit.
