Delzant's theorem in symplectic geometry states that Delzant polytopes in $\mathbf{R}^n$ classify symplectic toric manifolds of dimension $2n$. In this talk, we generalize this result to b-symplectic manifolds, where the symplectic form is singular along a hypersurface. In particular, we show that b-symplectic toric manifolds are classified by Delzant polytopes in a certain enlargement of $\mathbf{R}^n$.