Dichoptic presentation of vernier stimuli, i.e., one segment to each eye, yielded three times higher thresholds than binocular presentation, mainly due to uncorrelated movements of both eyes. Thresholds allow one to calculate an upper estimate for the amplitudes of uncorrelated eye movements during fixation. This estimate matches the best results from direct eye position recording, with the calculated mean amplitude of eye tremor corresponding to roughly one photoreceptor diameter. The combined amplitude of both correlated and uncorrelated eye movements was also measured by delaying one segment of the vernier relative to its partner under monocular or dichoptic conditions.