Viscoelastic fluid flow through a vertical plate with diffusion-thermo and thermal-diffusion has been investigated. Diffusion-thermo effect is known as Dufour effect and thermal-diffusion effect is known as Soret effect.The viscoelastic fluids has been received momentum in the recent years because of its numerous applications in polymer technology, metallurgy, polymer sheet extrusion from a dye, polymer processing industry in particular in manufacturing process of artificial film. By realizing the important of many engineering interests a standard model has been introduced in this book. To obtain the non-dimensional, non-similar coupled momentum, energy and concentration equations, usual non-dimensional variables have been used. The obtained non-dimensional equations have been solved by explicit finite difference method. The effects of the various parameters entering into the problem on the velocity, temperature, and concentration are shown graphically.