A mathematic model is built for the operation optimization problem of hot rolling. It is difficult to get global optimization for the operation optimization problem that has highly nonlinear characteristic. Considering the structural characteristics of the mathematic model, the operation optimization model is turned into a transcendental geometric programming model. The transcendental geometric programming model which is transformed from the operation optimization model of hot rolling cannot get the global optimization directly because the model has logarithmic terms. Based on the model structural, some theoretical analysis and mathematical transformation are given, which can help the operation optimization model of hot rolling transform into a convex programming model. Convex programming software can be used to solve the convex programming model.