  In this work, we study strong and radiative decays of S-wave D\Xi molecular
state, which is related to the \Omega^*_c states newly observed at LHCb. The
coupling between the D\Xi molecular state and its constituents D and \Xi is
calculated by using the compositeness condition. With the obtained coupling,
the partial decay widths of the D\Xi molecular state into the \Xi_c^{+}K^{-},
\Xi^{'+}_cK^{-} and \Omega^{*}_c(2695)\gamma final states through hadronic loop
are calculated with the help of the effective Lagrangians. By comparison with
the LHCb observation, the current results of total decay width support the
\Omega^{*}_c(3119) or \Omega^{*}_c(3050) as D\Xi molecule while the the decay
width of the \Omega^{*}_c(3000), \Omega^{*}_c(3066) and \Omega^{*}_c(3090) can
not be well reproduced in the molecular state picture. The partial decay widths
are also presented and helpful to further understand the internal structures of
\Omega^{*}_c(3119) and \Omega^{*}_c(3050).
