  We study the possibility of measuring the muon Yukawa couplings in s-channel
Higgs boson production at a muon collider with transversely polarized beams. We
investigate sensitivity to the relative size of the CP-odd and CP-even muon
Yukawa couplings. Provided the event rate observed justifies the operation of
the mu+mu- Higgs boson factory, we find that 40% polarization for both beams is
sufficient to resolve the CP nature of a single resonance as well as
disentangle it from two overlapping CP conserving resonances.
