An encapsulating material for a lead-on-chip structure semiconductor, said encapsulating material comprising an epoxy resin, a curing agent for the epoxy resin, a curing accelerator, and an inorganic filler, said filler having a particle size of 90% or less of a distance between an inner lead and a semiconductor chip in the lead-on-chip structure semiconductor in the case of the distance being 70 μm or more, or having a particle size of 95% or less of the distance between an inner lead and a semiconductor chip in the case of the distance being less than 70 μm, and the amount of said filler being 80 to 95% by weight based on the total weight of the encapsulated material, wherein the curing accelerator is an adduct of triphenylphosphine and benzoquinone.