A hydrogen generating apparatus and a fuel cell using the same is provided. The hydrogen generating apparatus is adapted to a fuel cell, and includes a main body, an electromagnet, a magnetic element, a containing tank and a sliding element. The electromagnet is fixed on the main body. The magnetic element is movably disposed on the main body. The containing tank is fixed on the main body and is used for containing liquid water. The sliding element is slidably disposed on the main body, wherein a solid fuel is fixed on the sliding element. When the electromagnet is electrified to generate magnetic force to drive a motion of the magnetic element, the magnetic element drives the sliding element to slide towards the containing tank, so that the solid fuel reacts with the liquid water in the containing tank to generate hydrogen.