We consider the six dimensional N=(1,0) hypermultiplet model coupled to an
external field of the Abelian vector multiplet in harmonic superspace approach.
Using the superfield proper-time technique we find the divergent part of the
effective action and derive the complete finite induced low-energy superfield
effective action. This effective action depends on external field and contains
in bosonic sector all the powers of the constant Maxwell field strength. The
obtained result can be treated as the 6D, N=(1,0) supersymmetric
Heisenberg-Euler type effective action.Comment: 15 pages; v2: minor correction