The invention relates to the technical field of ferrous metallurgy information technology, and particularly relates to a combinatorial optimization method of steel coil stacking of a hood-type annealing furnace. According to the characteristics of an annealing process of a hood-type annealing furnace, based on the analysis of the effect of steel coil overall dimensions (external diameter, width, thickness, etc.) and steel grades on annealing time and the restriction of various constraint conditions, and aiming at the optimization objects of minimizing stacking number and maximizing furnace stage production efficiency, the invention establishes a mathematical model for the optimization of hood-type furnace stacking, and provides a hybrid genetic algorithm (FGSA) combining algorithms of a first fit decreasing algorithm (FFD), a genetic algorithm (GA), and a simulated annealing algorithm (SA) for the solution of the model. The method can realize the informatization and the automation of hood-type furnace annealing production, reduce the labor intensity of scheduling personnel, increase the production efficiency of production factories, and has the effect of energy saving and consumption reduction.