A method of moulding a bioresorbable polymer for producing a bioresorbable medical device includes the following successive steps: (a) heating a poly(1,4-dioxanone) in the absence of any solvent of this polymer to a mass temperature between 145° C. and 165° C., (b) injection moulding the molten mass obtained in step (a) in a mould which is at a temperature of 80° C. to 115° C. lower than the mass temperature of the poly(1,4-dioxanone), (c) cooling the mould until solidification of the mass of poly(1,4-dioxanone), and (d) removing the thus obtained part from the mould. Also described is a moulded part which can be obtained by such a method as well as a medical device containing such a part.