The purpose of this study is to introduce the (almost) cosymplectic Hom–Lie algebras and to show that these Hom–Lie algebras and symplectic Hom–Lie algebras are related to each other. We also describe the notion of the almost coK¨ahler structures on Hom–Lie algebras and show that they are related to almost K¨ahler structures. The properties of the curvature tensor of such structures are presented in this study. η-Einstein almost coK¨ahler Hom–Lie algebras are described as well. We give the notions of Hom-η-parallel and Hom-cyclic parallel. Finally, some conditions for an almost K¨ahler structure induced by an almost coK¨ahler Hom–Lie algebra to be totally geodesic are given
