Disclosed is a glass press molding method which comprises a step of heating glass material and a mold die composed at least of an upper mold die and a lower mold die for molding the glass material;a step of pressing the glass material by means of the mold die;plural pallets for supporting the glass material and the mold die, each of the pallet supporting the glass material and the mold die in independent manner;a step of transporting, in succession, the pallets each supporting the glass material and the mold die; anda step of transferring the glass material, prior to the pressing step, in such a manner as to place the glass material, heated to a predetermined temperature in the heating step, between the lower mold die and the upper mold die, and to transfer the pallet with the glass material inserted in the mold die to the pressing step.