  We put constraints on the normalized energy density in gravitaional waves
from cosmic domain walls (DWs) by searching for the stochastic
gravitational-wave background (SGWB) in the data of Advanced LIGO and Virgo's
first three observing runs. By adopting a phenomenological broken power-law
model, we obtain the upper limit of normalized energy density of SGWB generated
by DWs in the peak frequency band $10\sim200$ Hz, and get the most stringent
limitation at the peak frequency $f_*=35$ Hz, namely
$\Omega_\text{DW}(f_*=35\,\text{Hz})<1.4\times10^{-8}$ at $95\%$ confidence
level (CL). Subsequently, we work out the constraints on the parameter space in
the appealing realization of DW structure -- the heavy axion model which can
avoid the so-called quality problem.
