Diffractive production of D^*\pm (2010) mesons in deep inelastic scattering has been studied with the ZEUS detector at HERA using an integrated luminosity of 82 pb^-1. Diffractive events were identified by the presence of a large rapidity gap in the final state. The D^*\pm mesons were reconstructed in the decay channel D^*+ \rightarrow D⁰ \pi _s⁺ with D⁰ \rightarrow K^- \pi ⁺ (+{c.c.}). Differential cross sections were measured in the kinematic region Q² > 1.5 GeV², 0.02 < y < 0.7, x_IP < 0.035, \beta < 0.8, P_T^D* > 1.5 GeV and |\eta ^D*| < 1.5. The measured integrated and differential cross sections are compared with theoretical predictions.

PACS numbers: 12.38.Aw, 12.38.Bx