In this paper, we investigate Johnson pseudo-contractibility and pseudo-contractibility of Clifford semigroup algebras. We shall show that, for a Clifford semigroup $ S $ if $ \ell^{1}(S) $ has a central approximate identity in $ c_{00}(S) $, then $ \ell^{1}(S) $ is (Johnson) pseudo-contractible if and only if $ E(S) $ is locally finite and each maximal subgroup of $ S $ is (amenable) finite, respectively. As an application we characterize Johnson pseudo-contractibility and pseudo-contractibility of $ \ell^{1}(S) $, where $S$ are a commutative semigroup, a band semigroup and an inverse semigroup with totally ordered idempotents set.
