  We complete the four-dimensional ${\cal N}=1$ superfield description of
six-dimensional supergravity. The missing ingredients in the previous works are
the superfields that contain the sechsbein $e_4^{\;\;\underline{\nu}}$,
$e_5^{\;\;\underline{\nu}}$, $e_\mu^{\;\;\underline{4}}$,
$e_\mu^{\;\;\underline{5}}$ and the second gravitino. They are necessary to
make the action invariant under the diffeomorphisms and the Lorentz
transformations involving the extra dimensions. We find the corresponding
superfield transformation laws, and show the invariance of the action under
them. We also check that the resultant action reproduces the known superfield
description of five-dimensional supergravity through the dimensional reduction.
