The p-T-x-y phase equilibria in the Cd-Zn-Te system are analyzed. The p-T and T-x-y projections of the p-T-x-y phase diagram and a T-x-y isobar (for pressures at which Cd1-xZnxTe1 +/- delta solid solutions sublime congruently in terms of Te) are mapped out. The key features of the sublimation behavior of the solid solution are examined. The p-T projection is studied by static vapor pressure measurements at temperatures from 700 to 1300 K and pressures of up to 101.3 kPa. The p-T sections of the phase diagram are constructed for x = 0.05, 0.10, 0.15, 0.25, 0.50, 0.75, 0.90, and 1. The solid solution containing 35 mol % ZnTe is found to phase-separate at 473 K.