In this paper, we introduce a new notion of strong pseudo-Connes amenability for dual Banach algebras. We study the relation between this new notion with classical notions of Connes-amenability. Also we show that for every non-empty set I, MI(C) is strong pseudo-Connes amenable if and only if I is finite. We provide some examples of dual Banach algebras and we investigate their strong pseudo-Connes amenability.
