Modern control theories have recently been applied to many industrial plants, and among these applications is the Generalized Predictive Control (GPC) method. This paper considers stable temperature control in a distillation column. Distillation columns are widely used and important processes in the chemical industry. ARMAX dynamical models are built from operational data. The temperature in the middle of the distillation column is controlled by the generalized predictive control method. Control based on the GPC algorithm is applied to tune PID control parameters. Digital simulation of these controls shows excellent results.