The invention relates to a preparation and application method of a hydrazine-degrading catalyst, a catalyst used for degrading hydrazine and hydrazine hydrate at normal temperature, and the preparation method of the catalyst. The catalyst has the following general formula: SO42<->/TiO2<->MxOy, wherein M is one of Mn, Mo, Zr, Fe and Cu; x is 1 or 2; and y is 1, 2 or 3. The hydrazine-degrading catalyst is prepared by a sol gel process which comprises the following steps of: dissolving tetrabutyl titanate serving as a raw material in ethanol solution which contains glacial acetic acid; stirring the mixture for 0.5 to 2 hours in an oil bath of which the temperature is 50 to 80 DEG C by taking polyvinylpyrrolidone as a dispersing agent; dropwise adding aqueous solution of a metal salt at the concentration is 1 to 20 weight percent; continuously heating and stirring for 1 to 6 hours; standing and ageing hydrolyzed sol for 10 to 24 hours; drying the obtained gel at the temperature of between90 and 120 DEG C; grinding and sieving the gel; soaking the gel in sulfuric acid solution for 10 to 24 hours; performing suction-filtration and washing the gel; drying the gel at the temperature of between 90 and 120 DEG C; and calcining the gel at the temperature of between 400 and 550 DEG C for 3 to 6 hours to prepare the powdery hydrazine-degrading catalyst. The catalyst obtained by the methodhas a low cost and high stability.