  Lepton Flavor Violating (LFV) processes are clear signals of physics beyond
the Standard Model. We investigate the possibility of measuring this kind of
processes at present and foreseeable future muon-electron colliders, taking
into account present day bounds from existing experiments. As a model of new
physics we consider a Z' boson with a $U'(1)$ gauge symmetry and generic
couplings. Processes that violate lepton flavor by two units seem to be
particularly promising.
