A nonlinear analysis of electrical conductivity in a plasma is given, stemming from the Uehling–Uhlenbeck equation. Anisotropy due to an applied electric field is incorporated through a Legendre polynomial expansion of the distribution function. The plasma is comprised of ions, electrons, and a neutral component. The electron–ion interaction is described by a shielded Debye potential at high energy and a cutoff Coulomb potential at low energy. A nonlinear equation for the distribution function is solved and yields f̄SL(x) =1/(1+BeA(x)) for the symmetric part of the solution. Nondimensional energy is x, B is a normalization constant, and A(x) is an explicit integral dependent on the electric field and specifics of the interaction. Resulting nondimensional conductivity σ̃, is given by σ̃ = (1)/(3) (2/π)3/2[ac(Z+1)1/2/ ΛQΓD] ∫∞0 f̄SL(x)(d/dx) (x/Q̃)dx, where Z is effective ionization, aC is the ratio of charge to total heavy-particle density, Q̃ is the dimensionless, weighted cross section, and ΛQ and ΓD are quantum and plasma parameters, respectively. Application is made to an aluminum plasma and plots of conductivity versus electric field are obtained. These plots exhibit three distinct regions; with an increase in field strength these are the Ohmic, Coulomb-dominated, and neutral-dominated regions.