In lateral line and electrosensory systems of fish, the animal's own movements create unwanted stimulation that could interfere with the detection of biologically important signals. Here we report that an adaptive filter in the medullary nuclei of both senses suppresses self-stimulation. Second-order electrosensory neurons in an elasmobranch fish and mechanosensory neurons in a teleost fish learn to cancel the effects of stimuli that are presented coupled to the fish's movements. A model is proposed for how the adaptive filter is realized by the cerebellar-like circuits of the hindbrain nuclei in these senses.