  Let $\F$ be a non-Archimedean local field.~Consider $\G_{n}:= \Sp_{2n}(\F)$
and let $\M:= \GL_l \times \G_{n-l}$ be a maximal Levi subgroup of
$\G_{n}$.~This paper undertakes the computation of the Jacquet module of
representations of $\G_{n}$ with respect to the maximal Levi subgroup,
belonging to a particular class. Finally, we conclude that for a subclass of
representations of $\G_{n},$ multiplicity of the Jacquet module does not exceed
2.
