Crystal growth on the basis of phase equilibrium relationships in the Cd-Te system is discussed. Two verydifferent types of approaches were investigated. Growth by slowly cooling melts of near stoichiometriccomposition under constant cadmium pressure resulted in single crystals up to 5 cm in length. Growth fromcadmium rich compositions at constant cadmium pressure by heating the melt produced crystals up to 1 cmin length. The relative merits of the two processes are discussed with regard to CdTe and other similarsystems.