We reconstructed the uncinate fasciculus bilaterally by probabilistic tractography in a group of 29 healthy subjects, in order to quantitatively investigating hemispheric asymmetries. We evaluated tract volume and DTI metrics. Our tract Laplacian parameterization successfully described curving bundles and allowed the calculation of along-tract measures and curvature mapping. Group variability maps showed a more dorsal route in the left hemisphere, towards the lateral fronto-orbital cortex. We also found a higher fractional anisotropy on the right compared to the left and different tract curvature. These asymmetries could be associated to specific tract functions as semantic and emotional processing, selectively affected in pathologies.