Enriched dgl’s are differential graded Lie algebras \((L,\partial )\) that are inverse limits of finite dimensional nilpotent differential graded Lie algebras. We extend the constructions established before for enriched Lie algebras. In particular we construct an equivalence of categories between enriched dgl’s and Sullivan algebras of the form \((\land V,d)\) where \(d= d_0+d_1\) , \(d_0 : V\to V\) , and \(d_1 : V\to \land ^2V\) . The first properties of enriched dgl’s are then described.