Chalcohalide glasses in the CdTe-AgI-As2Se3 system were synthesised and characterised for the first time. Measurements including density, X-ray diffraction (XRD), and differential scanning calorimetry (DSC) were performed. The glass-forming range for (CdTe)(x)(AgI)(0.5-x/2)(As2Se3)(0.5)(-x/2) compositions was found to be limited to x <= 0.25. The characteristic glass transition T-g, crystallisation T-x, and melting T-m temperatures of the synthesised glasses are reported and the criteria, Delta T = T-x-T-g was calculated to evaluate the glass forming ability. Total electric conductivity measurements have shown that the room temperature conductivity decreases drastically with increasing x accompanied by a simultaneous increase of the activation energy. The decrease in the Ag+ ion transport cannot be explained by reduction in the total silver concentration alone and a possible structural origin of conductivity changes was proposed and discussed.