  The Top Yukawa coupling profoundly influences several core mysteries linked
to the electroweak scale and the Higgs boson. We study the feasibility of
measuring the Top Yukawa coupling at high-energy muon colliders by examining
the high-energy dynamics of the weak boson fusion to top quark pair processes.
A deviation of the Top Yukawa coupling from the Standard Model would lead
modified $V V \rightarrow t\bar{t}$ process, violating unitarity at high
energy. Our analysis reveals that utilizing a muon collider with a
center-of-mass energy of 10 TeV and an integrated luminosity of 10 ab$^{-1}$
allows us to investigate the Top Yukawa coupling with a precision surpassing
1.5\%, more than one order of magnitude better than the precision from $t\bar t
h$ channel at muon colliders. This precision represents a notable enhancement
compared to the anticipated sensitivities of the High-Luminosity LHC (3.4\%)
and those at muon colliders derived from the $t\bar{t} H$ process.
