  In this work, we adress the phenomenological consequences of explicit CP
violation on direct Higgs-boson searches at high energy colliders. Having a
restricted parameter space, we concentrate on the recently proposed
gluino-axion model, and investigate the CP violation capability of the model
subject to the recent experimental data. It is shown that the Higgs masses as
well as their CP compositions are quite sensitive to the supersymmetric CP
phases. The lightest Higgs is found to be nearly CP even to a good
approximation whilst the remaining two heavy scalars do not have definite CP
parities.
