Context : The triple stellar system \delta Vel ( composed of two A-type and one F-type main sequence stars ) is particularly interesting as it contains one of the nearest and brightest eclipsing binaries . It therefore presents a unique opportunity to determine independently the physical properties of the three components of the system , as well as its distance . Aims : We aim at determining the fundamental parameters ( masses , radii , luminosities , rotational velocities ) of the three components of \delta Vel , as well as the parallax of the system , independently from the existing Hipparcos measurement . Methods : We determined dynamical masses from high-precision astrometry of the orbits of Aab-B and Aa-Ab using adaptive optics ( VLT/NACO ) and optical interferometry ( VLTI/AMBER ) . The main component is an eclipsing binary composed of two early A-type stars in rapid rotation . We modeled the photometric and radial velocity measurements of the eclipsing pair Aa-Ab using a self consistent method based on physical parameters ( mass , radius , luminosity , rotational velocity ) . Results : From our self-consistent modeling of the primary and secondary components of the \delta Vel A eclipsing pair , we derive their fundamental parameters with a typical accuracy of 1 % . We find that they have similar masses , respectively 2.43 \pm 0.02 M _ { \odot } and 2.27 \pm 0.02 M _ { \odot } . The physical parameters of the tertiary component ( \delta Vel B ) are also estimated , although to a lower accuracy . We obtain a parallax \pi = 39.8 \pm 0.4 mas for the system , in satisfactory agreement ( -1.2 \sigma ) with the Hipparcos value ( \pi _ { Hip } = 40.5 \pm 0.4 mas ) . Conclusions : The physical parameters we derive represent a consistent set of constraints for the evolutionary modeling of this system . The agreement of the parallax we measure with the Hipparcos value to a 1 % accuracy is also an interesting confirmation of the true accuracy of these two independent measurements .