  In this paper, we investigated quantum correlation in SU (2) invariant
quantum spin systems by local quantum uncertainty(LQU). These states are
invariant under global rotations of both subsystems and in real physical
systems, such states arise from thermal equilibrium states of isotropic spin
systems. We derive an analytic expression for the LQU of (2j +1)*2 and (2j
+1)*3 quantum spin systems with SU (2) symmetry.
