We establish the equivalence between U(1) Chern-Simons and Reshetikhin-Turaev TQFTs associated with finite quadratic modules. For gauge group U(1) and even level k, we prove that the corresponding Chern–Simons TQFT is naturally isomorphic to the Reshetikhin-Turaev TQFT determined by the pointed modular category C(Zₖ,qₖ). The equivalence holds both for closed 3-manifolds and for bordisms with boundary, so that the two constructions define naturally isomorphic extended (2+1)-dimensional TQFTs. In particular, the finite quadratic module (Zₖ,qₖ) completely determines the even-level U(1) Chern–Simons theory.