  We study a possibility of a measurement of 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 justify the operation of the
$\mu^+\mu^-$ Higgs boson factory, we have found that polarization degree 40% is
sufficient to resolve the CP nature of a single resonance as well as
disentangle it from two overlapping CP conserving resonances.
