Summary: A space \(X\) is selectively strongly star-Menger (briefly, selSSM) if for each sequence \((\mathscr{U}_n : n \in\mathbb{N})\) of open covers of \(X\) and each sequence \((D_n : n \in\mathbb{N})\) of dense subspaces of \(X\), there exists a sequence \((F_n : n \in\mathbb{N})\) of finite subsets \(F_n \subset D_n\), \(n\in\mathbb{N}\), such that \(\{st (F_n, \mathscr{U}_n) : n \in\mathbb{N}\}\) is an open cover of \(X\). This property is between absolute countable compactness [\textit{M. V. Matveev}, Topology Appl. 58, No. 1, 81--92 (1994; Zbl 0801.54021)] and selective absolute star-Lindelöfness [\textit{M. Bonanzinga} et al., Topology Appl. 221, 517--523 (2017; Zbl 1376.54024)] and represents a ``selective version'' of the selection principle strongly star Menger [\textit{L. D. Kočinac}, Publ. Math. Debr. 55, No. 3--4, 421--431 (1999; Zbl 0932.54022)]. In this paper, we study some properties of selectively strongly star-Menger spaces, the relation with related properties and give some example distinguishing the properties considered.