The uplift, transport and deposition of dust have been implemented in the LMDz AGCM. Simulations of atmospheric dust transport have been performed under present day (PD) and Last Glacial Maximum (LGM) conditions. For the PD climate the large-scale atmospheric dust transport as inferred from atmospheric measurements is reproduced. Increased dust amounts are simulated almost everywhere for the LGM climate, and the concentration of dust in Antarctic ice is increased as inferred from ice cores. The model simulates substantially increased dust concentrations in Greenland ice, however they are still lower than values reported from ice cores.