Recognition of faces is better when faces are presented in the left than right-visual-field. Furthermore, this perceptual asymmetry is a stable individual characteristic. Although it has been commonly assumed that the right hemispheric dominance for face processing underlies this left-visual-field superiority in face recognition, this neural-behavioral association has never been directly demonstrated. Here we applied functional MRI (fMRI) to measure the magnitude of the asymmetric response to faces for each subject. To determine whether the asymmetric neural response to faces is stable across sessions, subjects returned for a second fMRI session. In addition, subjects performed a behavioral experiment outside the scanner where they had to recognize centrally presented chimeric faces, which presented different identities in the right- and left-visual-field. This task yielded a measure of the magnitude of the left-visual-field bias for each subject. Our findings show that the magnitude of the asymmetry of the face-selective area in the fusiform gyrus (FFA) is highly consistent for each individual across scans. We then show that the behavioral left-visual-field asymmetry, measured outside the scanner, was strongly and specifically correlated with the asymmetry of the FFA across subjects, but not with other face-specific or nearby object-general regions. Our findings provide the first empirical evidence for the prevalent idea that perceptual asymmetries in face recognition are associated with the well-known hemispheric asymmetry for faces. We conclude that the FFA asymmetry is a highly stable individual characteristic that underlies the well-established left-visual-field superiority for face recognition.