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In mathematics, a **stably free module** is a module which is close to being free.

A module *M* over a ring *R* is *stably free* if there exists a free finitely generated module *F* over *R* such that is a free module.

- A projective module is stably free if and only if it possesses a finite free resolution.
^{[1]} - An infinitely generated module is stably free if and only if it is free.
^{[2]}

**^**Lang, Serge (1993),*Algebra*(Third ed.), Reading, Mass.: Addison-Wesley, ISBN 978-0-201-55540-0, Zbl 0848.13001**^**Lam, T. Y. (1978).*Serre's Conjecture*. p. 23.