  We give a criterion for Bruhat order on noncrossing partitions corresponding
to the Coxeter element $c=s_1 s_2\cdots s_n$. Using it we prove that the Bruhat
order endows noncrossing partitions with a lattice structure. We then explain
what happens if we change the Coxeter element; in that case the lattice
property fails and we explain which order to consider to get the same lattice
structure as for the Coxeter element $c$. In particular we get bijections
between noncrossing partitions associated to distinct Coxeter elements, which
fix the set of reflections.
