Аннотация:The N=4 supersymmetric U(2)-spin hyperbolic Calogero-Sutherland model with odd matrix fields is examined. Explicit form of the N=4 supersymmetry generators is derived. The Lax representation for the dynamics of the N=4 hyperbolic U(2)-spin Calogero-Sutherland system is found. The reduction to the N=4 supersymmetric spinless hyperbolic Calogero-Sutherland system is established.