Electron velocity distribution functions for a partially ionized gas in a weak, steady electric field are obtained by solving the Boltzmann‐Fokker‐Planck equation numerically. As in the case of a fully ionized gas, the electron‐electron interactions in a partially ionized gas affect the velocity distribution function and, consequently, the electrical conductivity. Electrical conductivities are calculated for a variety of assumed electron‐molecule collision frequencies. The results differ by only a few percent from those obtained using an approximation suggested by Frost. A simple procedure, requiring no numerical integrations, is given relating electron temperature to electrical conductivity for a partially ionized gas.