Future projections of global mean sea level change are uncertain partly because of our limited understanding of the dynamics of Greenland’s outlet glaciers. Here we study Nioghalvfjerdsbræ an outlet glacier of the Northeast Greenland Ice Stream that holds 1.1 m sealevel equivalent of ice. We use GPS observations and numerical modelling to investigate the role of tides as well as the elastic contribution to glacier flow. We find that ocean tides alter the basal lubrication of the glacier up to 10 km inland of the grounding line and that their influence is best described by a viscoelastic rather than a viscous model. Further inland sliding is the dominant mechanism of fast glacier motion and the ice flow induces persistent elastic strain. We conclude that elastic deformation plays a role in glacier flow particularly in areas of steep topographic changes and fast ice velocities.