In this paper, we study the strong nil-cleanness of certain classes of semigroup rings. For a completely 0-simple semigroup
M={ {\mathcal M} }^{0}(G;I,\text{Λ};P)
, we show that the contracted semigroup ring
{R}_{0}{[}M]
is strongly nil-clean if and only if either
|I|=1
or
|\text{Λ}|=1
, and
R{[}G]
is strongly nil-clean; as a corollary, we characterize the strong nil-cleanness of locally inverse semigroup rings. Moreover, let
S={[}Y;{S}_{\alpha },{\varphi }_{\alpha ,\beta }]
be a strong semilattice of semigroups, then we prove that
R{[}S]
is strongly nil-clean if and only if
R{[}{S}_{\alpha }]
is strongly nil-clean for each
\alpha \in Y
.