In the beam pipe of the Damping Ring (DR) of a linear collider, an electron cloud may be produced by ionization of residual gas or photoelectrons and develop by the secondary emission process [1]. Coupling between the electrons and the circulating beam can cause coupled-bunch instabilities, coherent single-bunch instabilities or incoherent tune spreads that may lead to increased emittance, beam blow-up and ultimately to beam losses. We present recent computer simulation results for the electron cloud instability thresholds in the GLC/NLC (X-Band) main DR and for the TESLA DR.