  We give a new presentation of the Yangian for the orthosymplectic Lie
superalgebra $\mathfrak{osp}_{1|2m}$. It relies on the Gauss decomposition of
the generator matrix in the $R$-matrix presentation. The defining relations
between the Gaussian generators are derived from a new version of the
Drinfeld-type presentation of the Yangian for $\mathfrak{osp}_{1|2}$ and some
additional relations in the Yangian for $\mathfrak{osp}_{1|4}$ by an
application of the embedding theorem for the super-Yangians.
