  Let F be a number field and $\widetilde{\mathrm{Sp}}(2n)$ be the metaplectic
covering of Weil of $\mathrm{Sp}(2n, \mathbb{A}_F)$. We stabilize the elliptic
semi-simple terms of the genuine part of trace formula for
$\widetilde{\mathrm{Sp}}(2n)$, by using the transfer of test functions and the
fundamental lemma established in a previous article. We obtain therefore an
expression in terms of stable orbital integrals along certain $F$-elliptic
classes in $\mathrm{SO}(2n'+1) \times \mathrm{SO}(2n''+1)$, which we call
equisingular, for pairs $(n', n'')$ satisfying $n'+n''=n$. A simple formula for
the coefficients is also obtained.
