The invention discloses an epoxidation catalyzing method of linear alpha olefins and hydrogen peroxide in a parallel-flow-type dripping fixed bed. The epoxidation catalyzing method comprises the following steps: at the temperature of 20-70 DEG C, mixed liquid of the linear alpha olefins, the hydrogen peroxide and a solvent is introduced from the upper end of the parallel-flow-type dripping fixed bed in a parallel-flow mode; the parallel-flow-type dripping fixed bed is filled with an HBMZ molecular sieve catalyst; the flow-parallelled reaction mixed liquid makes contact with the HBMZ molecularsieve catalyst from top to bottom; a reaction product flows out from the lower end of the parallel-flow-type dripping fixed bed; and then after the reaction product is subjected to low-temperature condensation through a condensation pipe and separated through a gas-liquid separator in sequence, a product, namely epoxide is obtained. According to the epoxidation catalyzing method, the alpha olefins, the hydrogen peroxide and the catalyst can make full contact, the catalytic activity is good, the utilization rate of the hydrogen peroxide is high, selectivity of the epoxy product is good, a process is simple, poisons and harm are avoided, the life of the catalyst is long, the online time is long, selectivity of the product is high, and industrial production is easy.