  We consider the scenario of composite Higgs with partial compositeness to
address the muon g-2 anomaly. We show that this anomaly is resolved by one-loop
correction due to composite muon partners with mass scale of order TeVs and
large Yukawa coupling to composite Higgs, which is different from
interpretations of vectorlike lepton models. We present parameter space by
imposing indirect constraints from precise measurements on Higgs, Z and oblique
electroweak parameters. We analyze direct constraints in light of both
Drell-Yan and Higgs-associated productions of the composite muon partners at
high-luminosity LHC. It turns out that the surviving parameter regions with the
lighter composite muon mass below $\sim 325$ GeV can be excluded at 2$\sigma$
order by the Drell-Yan processes.
