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In this paper we consider the derangement graph for the group$\textrm{PSU}(3,q)$ where $q$ is a prime power. We calculate all eigenvaluesfor this derangement graph and use these eigenvalues to prove that$\textrm{PSU}(3,q)$ has the Erd\H{o}s-Ko-Rado property and, provided that$q\neq 2, 5$, another property that we call the {\textsl Erd\H{o}s-Ko-Radomodule property}.

Erdos-Ko-Rado theorem for the group $\textrm{PSU}(3,q)$