  A measurement of the transverse polarization of the $\Lambda$ and
$\bar{\Lambda}$ hyperons in $p$Ne fixed-target collisions at $\sqrt{s_{NN}}$ =
68.4 GeV is presented using data collected by the LHCb detector. The
polarization is studied using the decay $\Lambda \rightarrow p \pi^-$ together
with its charge conjugated process, the integrated values measured are
  $$ P_{\Lambda} = 0.029 \pm 0.019 \, (\rm{stat}) \pm 0.012 \, (\rm{syst}) \, ,
$$ $$ P_{\bar{\Lambda}} = 0.003 \pm 0.023 \, (\rm{stat}) \pm 0.014
\,(\rm{syst}) \,. $$
  Furthermore, the results are shown as a function of the Feynman~$x$~variable,
transverse momentum, pseudorapidity and rapidity of the hyperons, and are
compared with previous measurements.
