We have observed an apparent migration of seismic events along the North Atlantic Ridge from Jan Mayen Island to the Azores and eastward, culminating in the large earthquake and associated aftershocks in the Goringe Bank area in 1969. The migration velocity is about 10¿ of latitude in 9 to 12 months, about 3 to 10 km/d. Tests performed on normalized data show the migration to be statistically significant with a t-statistic equalling that for aftershocks, swarms, etc. occurring in an area. We believe this is the first reported earthquake migration along a spreading ridge system and one of the first with such high velocities. We hypothesize that the migration could involve creep migration along transform faults, since reported phenomena with velocities as high as this have involved creep along strike slip faults.