We study homogeneous Lagrangian submanifolds in complex hyperbolic spaces. We show there exists a correspondence between compact homogeneous Lagrangian submanifolds in $$\mathbb {C}H^{n}$$ and the ones in $$\mathbb {C}^n$$ , or equivalently, in $$\mathbb {C}P^{n-1}$$ . Furthermore, we construct and classify non-compact homogeneous Lagrangian submanifolds in $$\mathbb {C}H^n$$ obtained by the actions of connected closed subgroups of the solvable part of the Iwasawa decomposition.