  We calculate the $O(a)$ improvement coefficient c_SW in the
Sheikholeslami-Wohlert quark action for various improved gauge actions with
six-link loops. We employ the conventional perturbation theory introducing the
fictitious gluon mass to regularize the infrared divergence. Our results for
some improved gauge actions are in agreement with those previously obtained
with the Schr{\"o}dinger functional method.
