  It has been known that there exists a canonical system for every finite real
reflection group. The first and the third authors obtained an explicit formula
for a canonical system in the previous paper. In this article, we first define
canonical systems for the finite unitary reflection groups, and then prove
their existence. Our proof does not depend on the classification of unitary
reflection groups. Furthermore, we give an explicit formula for a canonical
system for every unitary reflection group.
