The interplay between critical percolating clusters and critical points in
physical systems and models is reviewed. The main emphasis is given to syst
ems such as colloids and gels. Much information on the main mechanism leadi
ng to percolation in correlated systems can be obtained from the study of t
he Ising model. It is emphasized that different cluster definitions are nec
essary for studying different phenomena and that the possibility of experim
entally detecting the percolation line is related to the cluster lifetime.
Some results on the interplay between critical points and percolating clust
ers in fluids are also discussed.