Exhaust dyeing is one of the most popular dyeing methods. Most of the dyes could be used for exhaust dyeing of textile material. The exhaust dyeing process is used for staple fibre dyeing. Yarn and fabric could be dyed by exhaust dyeing method. Dye solution or dye bath is produced by dissolving the dyestuff according to required liquor ratio. Then Textile material is immersed in to the dye solution. Initially the surface of the fibre is dyed when dyes contact with the fibre, then the dyes are entered in the core of fibre. Proper temperature and time is maintained for diffusion and penetration of dyes molecule in the fibres core. During the process, kinetic and thermodynamic reactions interact.