With the global color symmetry model (GCM) being extended to finite chemical potential, the density dependence of the local and nonlocal two- and four-quark condensates in nuclear matter are investigated. The calculated results indicate that, the quark condensates decrease gradually with the increasing of the nuclear matter density. Nevertheless no sudden change emerges. As a maximal nuclear matter density is reached, the quark condensates vanish. It indicates that the chiral symmetry is restored. Furthermore the nonlocal quark condensates vanish at a smaller nuclear matter density, if the quarks are separated farther away from each other. ©2001 American Institute of Physics.