  We extract the high-twist contribution to the neutrino-nucleon structure
function $xF_3^{(\nu+\bar{\nu})N}$ from the analysis of the data collected by
the IHEP-JINR Neutrino Detector in the runs with the focused neutrino beams at
the IHEP 70 GeV proton synchrotron. The analysis is performed within the
infrared renormalon (IRR) model of high twists in order to extract the
normalization parameter of the model. From the NLO QCD fit to our data we
obtained the value of the IRR model normalization parameter
$\Lambda^2_{3}=0.69\pm0.37~({\rm exp})\pm0.16~({\rm theor})~{\rm GeV}^2$. We
also obtained $\Lambda^2_{3}=0.36\pm0.22~({\rm exp})\pm0.12~({\rm theor})~{\rm
GeV}^2$ from a similar fit to the CCFR data. The average of both results is
$\Lambda^2_{3}=0.44\pm0.19~({\rm exp})~{\rm GeV}^2$.
