  In this work, we analyze three dominant single SM-like Higgs boson production
processes in the left-right twin Higgs model (LRTHM): the Higgs-strahlung (HS)
process $e^{+}e^{-}\rightarrow Zh$, the vector boson fusion (VBF) process
$e^{+}e^{-}\to \nu\bar{\nu}h$ and the associate production with top pair
process $e^{+}e^{-}\to t\bar{t}h$ for three possible energy stages of the
International Linear Collider (ILC), and compared our results with the expected
experimental accuracies for various accessible Higgs decay channels. The
following observations have been obtained: (i) In the reasonable parameter
space, the LRTHM can generate moderate contributions to theses processes with
polarized beams; (ii) Among various Higgs boson decay channels, the $b\bar{b}$
signal strength is most sensitive to the LRTHM due to the high expected
precision. For the $t\bar{t}h$ production process, the absolute value of
$\mu_{b\bar{b}}$ may deviate from the SM prediction by over $8.7\%$ and thus
may be detectable at the future ILC with $\sqrt{s}=1$ TeV; (iii) The future ILC
experiments may give strong limit on the scale parameter $f$: for the case of
ILC-250 GeV, for example, the lower limit for parameter $f$ of the LRTHM is $f
> 1150$ GeV at the $2\sigma$ level.
