  Probing Higgs width $\Gamma_h$ is critical to test the Higgs properties. In
this work we propose to measure $\Gamma_h$ at the $e^+e^-$ collider with a
model-independent analysis under the Standard Model Effective Field Theory
framework. We demonstrate that making use of the cross section measurements
from $e^+e^-\to Zh$, $e^+e^-\to \nu_e\bar{\nu}_eh$ production and Higgs decay
branching ratios $h\to WW^*/ZZ^*/\gamma\gamma$, one could determine $\Gamma_h$
at a percentage level with a center of mass energy $\sqrt{s}=250$ and 350 GeV
and integrated luminosity $5~{\rm ab}^{-1}$. This conclusion would not depend
on the assumption of the fermion Yukawa interactions. We further apply this
result to constrain the fermion Yukawa couplings and it shows that the
couplings could be well constrained.
