Abstract submitted to the International Europhysics Conference on High Energy Physics July 12 - 18, 2001, Budapest, Hungary _________________________________________________________________________ Three-jet production in diffractive deep inelastic scattering at HERA ZEUS Collaboration Abstract First measurements are reported of three-jet production in diffractive deep inelastic scattering with the ZEUS detector at HERA using an integrated luminosity of 42.7 pb^{-1}. The data were measured in the kinematic region 5 < Q^2 < 100 GeV^2, 200 < W < 250 GeV, 23 < M_X < 40 GeV and x_{Pom} < 0.025. The diffractive signal was selected by requiring a large rapidity gap in the outgoing proton direction. Jets were reconstructed in the centre-of-mass system of the observed hadronic final state with the exclusive-k_T jet-algorithm. The three-jet final-state topology is studied. Differential cross sections are measured as a function of the jet pseudorapidity and jet transverse momentum with respect to the gamma^*-{Pom} axis. Finally, the shapes of the jets are studied with the aim of distinguishing between quark- and gluon-initiated jets. The measurements are compared to models for diffraction in deep inelastic scattering.