A ring is clean (resp. almost clean) if each of its elements is the sum of a
unit (resp. regular element) and an idempotent. In this paper we define the
analogous notion for *-rings: a *-ring is *-clean (resp. almost *-clean) if its
every element is the sum of a unit (resp. regular element) and a projection.
Although *-clean is a stronger notion than clean, for some *-rings we
demonstrate that it is more natural to use.