Using the Extended X-ray Absorption Fine Structure (EXAFS) technique, we have investigated the local structure of disordered PbSxTe1−x and ZnxCd1−xTe alloys at temperatures below and above the reported ferroelectric transition temperatures. For the PbSxTe1−x alloys (x=0.10, 0.18, and 0.30), the sulphur ions are found to be off-center in both the high and the low temperature phase and Pb sublattice and Te sublattice shift relative to one another below the transition temperature. For ZnxCd1−xTe alloys (x=0.10 and 0.20), the zinc ions are found in a slightly asymmetric site in the cages formed by four NN Te ions and no relative shift between the cation and anion sublattice is observed. We discuss our results concerning the ferroelectric phase transitions (FPT) induced by off-center ions in these two systems.