The invention discloses application of tri-silicon amine rare earth complex to the catalyzing of hydroboration reaction of ketone and borane. The ketone is 2-acetylfuran, 2-acetylthiophene, 2-acetonaphthone or (substituted) phenyl ketone. The application has the advantages that the tri-silicon amine rare earth complex can catalyze the hydroboration reaction of the ketone and the borane under a mild condition (room temperature) in a high activity manner, and the use amount of catalyst is only 0.1-0.5% of the molar weight of the ketone; fast reaction is achieved, yield of above 90% can be reached after the reaction the performed for 10 minutes, catalyst use amount is lowered while yield is increased as compared with an existing catalyzing system, reaction time is short, the reaction condition is mild, and the economic atom synthesizing requirements are well satisfied.