Combining optical ͑low temperature photoluminescence͒, electrical ͑thermoelectric effect spectroscopy͒, and structural ͑synchrotron X-ray powder diffraction͒ methods, the defect structure of CdTe doped with Bi was studied in crystals with dopant concentration in the range of 10 17 -10 19 at./ cm 3 . The semi-insulating state observed in crystals with low Bi concentration is assigned to the formation of a shallow donor level and a deep donor recombination center. Studying the evolution of lattice parameter with temperature, we postulate that the deep center is formed by a Te-Te dimer and their formation is explained by a tetrahedral to octahedral distortion, due to the introduction of Bi in the CdTe lattice. We also shows that this model agrees with the electrical, optical, and transport charge properties of the samples.