The eastern termination of the Cleveland Dyke on Fylingdales Moor, North Yorkshire, has been mapped by ground magnetic surveys. Two distinct anomalies have been identified, one of which is directly along strike from known outcrops of the dyke. The other, not yet fully defined, lies about 100 m farther south. In contrast to the well-known and commonly surveyed outcrop on nearby Goathland Moor, but in common with perhaps most British members of the Palaeogene Hebridean dyke swarms, the anomalies on Fylingdales Moor are caused by reversely magnetized bodies. The nature of the transition between the magnetization directions, which presumably represent differences in age, could be investigated by magnetic surveys in the forested area between the Fylingdales Moor and Goathland Moor.