  We consider six-dimensional higher-derivative ${\cal N}=(1,0)$ supersymmetric
gauge theory coupled with the hypermultiplet. We use the background superfield
method in six-dimensional ${\cal N}=(1,0)$ harmonic superspace to study the
effective action in the theory. Using the dimensional regularization scheme we
analyze the one-loop divergent contributions to the effective action. We
demonstrate that UV behaviour is determined by the higher-derivative term for
gauge multiplet sector.
