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The effect of Zn doping on the magnetic properties of CdCr2S4 systems is studied by mean field theory and high-temperature series expansion (HTSE). The nearest neighbouring and the next-neighbouring super-exchange interactions J1(x) and J2(x) are evaluated for the spinel system ZnxCd1-xCr2S4 in the range 0 ≤ x ≤ 1. The intra-planar and the inter-planar interactions are deduced. The HTSE combined with the Pad?approximant method (PA) is applied to the spinel system ZnxCd1-xCr2S4. Themagnetic phase diagram, i.e. TC versus dilution x, is obtained. The critical exponents associated with the magnetic susceptibility γ and the correlation length v are deduced. The obtained theoretical results are in agreement with the experimental data obtained by magnetic measurements.