  We present a twistor space that describes super null-lines on six-dimensional
N=(1,1) superspace. We then show that there is a one-to-one correspondence
between holomorphic vector bundles over this twistor space and solutions to the
field equations of N=(1,1) super Yang-Mills theory. Our constructions naturally
reduce to those of the twistorial description of maximally supersymmetric
Yang-Mills theory in four dimensions.
