Аннотация:Novel N=2 and N=4 supersymmetric extensions of the Calogero-Sutherland hyperbolic systems are obtained by gauging the U(n) isometry of matrix superfield models. The bosonic core of the N=2 models is the standard A_{n−1} Calogero-Sutherland hyperbolic system, whereas the N=4 model contains additional semi-dynamical spin variables and is an extension of the U(2) spin Calogero-Sutherland hyperbolic system. We construct two different versions of the N=4 model, with and without the interacting center-of-mass coordinate in the bosonic sector.