Cd_1-x Zn_x Cr₂ Se₄ is a compound with spinel structure where two important frustration effects are present. The disorder in distribution of exchange interactions is due to the substitution between zinc and cadmium on tetrahedral sites. The samples in powder form were performed by the classical ceramic method. For the crystal growth, different methods were used depending on Zn and Cd concentrations. The composition was determined by X-ray measurements of the lattice constant. The direct current susceptibility measurements show that for the whole concentration range the system obey to Curie-Weiss law at high temperature. The DC magnetization, AC susceptibility and thermoremanent magnetization measurements revealed the existence of a spin-glass-like state and reentrant spin-glass behavior at low temperatures, in the middle concentration range.