The ionic conduction of cation substituted CuBrTe, CuxAg1-xBrTe solid solutions, is investigated in the temperature range between 100 and 400 K. The change of electrical conductivities with temperature in the range of 0.94 less than or equal to x<1 shows the characteristics of second-order rather than first-order phase transitions. The replacement of Cu with the Ag cation in CuxAg1-xBrTe leads to an increase in conductivity especially in the beta and gamma-phases.