Observations of the Atlantic Meridional Overturning Circulation (AMOC) show that it varies on all timescales. Here we isolate the contribution of eddies to AMOC variability using an eddy-permitting model of the North Atlantic driven by climatological and steady forcing. The eddy-induced AMOC variability is found to be ubiquitous and significant at all latitudes, with a magnitude comparable to the seasonal cycle in the subtropics. Furthermore, the eddy-induced AMOC variability is manifested not only at high frequencies but also at interannual and longer timescales. These results imply that a significant fraction of the AMOC variability is inherently unpredictable at seasonal to interannual timescales.