Glasses having a broad range of compositions in the system 10CoO.(90-x)TeO2.xV205 are prepared and investigated. DC conductivity, density, and molar volume are studied. The conduction mechanism is found to be nonadiabatic in nature. The activation energy for conduction, W, is found to be less than that of TeO2-V2O5 glasses containing Sn, Pb, and Bi oxides. Mott's model for the small polaron hopping conduction between nearest neighbours gives unreasonable values for the decay parameter of the wave function of the electron in the low valence state. The increase in the conductivity with temperature is interpreted in terms of the Schnakenberg model for an optical multiphonon assisted hopping process at high temperatures and single optical phonon process at the lower ones.