  We investigate the reach for resonances of the composite Higgs models at a 10
TeV \mu^+\mu^- collider with up to 10 ab^{-1} luminosity. The strong dynamics
sector is modeled by the minimal coset SO(5)/SO(4), where vector resonances are
in (3, 1) of SO(4) and fermions are in (2, 2). Various production and decay
channels are studied. For the spin-1 resonances, the projections are made based
on the radiative return and vector boson fusion production channels. The muon
collider can cover most of the kinematically allowed mass range and can measure
the coupling g_\rho to percent level. For the fermionic resonances (i.e. the
top partners), pair production easily covers the resonance mass below 5 TeV,
while single production extends the reach to 6 TeV for a small \xi = 0.015.
