Résumé : A measurement is presented of the cross section for D*± meson production in diffractive deep-inelastic scattering for the first time at HERA. The cross section is given for the process ep → eXY, where the system X contains at least one D*± meson and is separated by a large rapidity gap from a low mass proton remnant system Y. The cross section is presented in the diffractive deep-inelastic region defined by 2 < Q2 < 100 GeV2, 0.05 < y < 0.7, xℙ < 0.04, MY < 1.6 GeV and