Topographic Rossby waves propagating along the East Greenland Front between 77¿ and 72 ¿N are simulated using a primitive-equation ocean model of the Greenland Sea. The waves are prominent in both barotropic and baroclinic experiments, and their estimated wave period and wavelength are about 17.3 hours and 363 km, respectively. A possible mechanism for generation of topographic Rossby waves is presented. The dominant along-slope component of the group velocity implies that the bulk of the energy propagates along the shelf slope of Greenland toward the northeast. Existence of the offshore component indicates that some energy is available for cross-frontal mixing within the East Greenland Front. ¿ American Geophysical Union 1996