Summary: In this paper we introduce a new class of modules which is closely related to the class of Noetherian modules. Let \(R\) be a commutative ring with identity and let \(M\) be an \(R\)-module such that \(\mathrm{Nil}(M)\) is a divided prime submodule of \(M\). \(M\) is called a nonnil-Noetherian \(R\)-module if every nonnil submodule of \(M\) is finitely generated. We prove that many of the properties of Noetherian modules are also true for nonnil-Noetherian modules.