  The multiplet of superconformal anomalous currents in the case $(1,0)$, $d=6$
is derived. The supersymmetric multiplet of anomalies contains the trace of the
energy momentum tensor, the gamma trace of the supercurrent and some
topological vector current with divergence equal to the $R$-current anomaly.
The extension of this consideration to the $(2,0)$ case and some application
and motivation coming from $AdS_{7}/CFT_{6}$ correspondence is discussed.
