Abstract In this paper investigation have been carried out on Soret and Dufour effects, variable viscosity and variable thermal conductivity effects on unsteady free convective flow past a vertical cone. Here a mathematical model is considered on unsteady free convective flow over an incompressible fluid past a vertical cone with nonuniform surface temperature and concentration. The governing partial differential equations are altered into dimensionless form, and then solved numerically by an iterative technique based on finite difference scheme. The velocity, the temperature and the concentration profile have been drawn for various values of Soret number, Dufour number, time, viscosity parameter and thermal conductivity parameter. The local skin friction is also studied for various parameters