Hydrogen generation materials are a complex hydride which generates hydrogen upon hydrolysis, and an aqueous solution comprising water for causing the hydrolysis, and an accelerator dissolved therein for accelerating a hydrogen generation reaction. A method of hydrogen generation by a hydrogen generator comprises a first step S1 of detecting that the internal pressure of a reactor is lower than a reference pressure, and supplying the aqueous accelerator solution to the reactor; a second step S2 of dissolving the complex hydride in the aqueous accelerator solution to cause a hydrogen generation reaction; and a third step S3 of detecting that the internal pressure of the reactor is higher than the reference pressure, and stopping the supply of the aqueous accelerator solution, and repeats the flow from the first step S1 to the third step S3.