  The spin response in the copper oxide materials at finite temperatures in the
underdoped and optimal doped regimes is studied within the framework of the
fermion-spin theory. The integrated dynamical spin structure factor is almost
temperature independent, the integrated susceptibility shows the particularly
universal behavior as $I(\omega, T) \propto arctan [ a_{1}\omega/T +
a_{3}(\omega/T)^{3}]$, and the spin-lattice relaxation time is weakly
temperature dependent, which are consistent with experiments and numerical
simulations.
