This article on the basis of the study of Optimum maintaining SimpleGenetic Algorithms (OMSGA) and Adaptive Genetic Algorithm (AGA), putsforward a Hybrid Genetic Algorithm (HGA) and gives it a simple analysis and itsschema theorem. In this HGA, the variability of of and its selection are always inclined to the good side of OMSGA and AGA, while overcomes the defective sideof OMSGA and AGA. This makes its performance stabler, and search efficiencybetter. Finally, its validity and stability have also been proved by means of com-paring examples.