A model is presented which allows to analyze normal zone propagation in monolith conductors with the account of current diffusion, conductor's nonlinear properties and current sharing. Analytical description of the current diffusion heat generation is given. It is used in a 1st order ordinary differential equation (ODE) to determine the normal zone longitudinal velocity and temperature profile. The method is illustrated on the examples of conductors with copper and aluminum stabilizers. It also allows to account for the heat transferred into the insulation, which can notably reduce .Index Terms-Current diffusion, monolith conductor, normal zone propagation, Rutherford cable.