In this paper, the author shows that a Markov operator has an invariant measure if it is nonexpansive semi-concentrating, which means that \(\| P_{\mu_1}-P_{\mu_2}\| {\leq} \| \mu_1 - \mu_2 \| \) and \(\liminf_{n \rightarrow \infty} P^n\mu (C) > \alpha \) for \(\mu \in {\mathcal M}_1\), where \({\mathcal M}_1\) is the collection of the probability measures on a Polish space.