  We study the existence of a non-spacelike isometry, \zeta, in higher
dimensional Kundt spacetimes with constant scalar curvature invariants (CSI).
We present the particular forms for the null or timelike Killing vectors and a
set of constraints for the metric functions in each case. Within the class of N
dimensional CSI Kundt spacetimes, admitting a non-spacelike isometry, we
determine which of these can admit a covariantly constant null vector that also
satisfy \zeta_{[a;b]} = 0.
