  In the present work, the production of $\Xi(1620)$ in the $K^- p$ scattering
process is investigated by using an effective Lagrangian approach, where
$\Xi(1620)$ is considered as a $\bar{K} \Lambda$ molecular state. Our
estimations indicate that the cross sections for $K^-p\to K^+ \Xi(1620)^-$ are
$(1.48 ^{+ 1.12}_{-0.69}) \ \mathrm{\mu b}$ at $P_K=2.8 \ \mathrm{GeV}$, where
the uncertainties are resulted from the variation of the model parameter. As
for the $K^-p\to K^+ \pi^0 \Xi^-$ process, the cross sections are estimated to
be $(0.61 ^{+0.47}_{-0.29})\ \mathrm{\mu b}$ at $P_K =2.8 \ \mathrm{GeV}$,
which is consistent with the experimental measurements.
