A method of producing filter tips for cigarettes, each of which comprises two portions of filter material arranged on opposite ends of a portion of granular material; the first portion of filter material is wrapped in a sheet so as to obtain an intermediate element having a substantially tubular shape and an open end; the granular material and the second portion of filter material are then inserted through the open end, while the intermediate element is kept vertical with the open end facing upwards; in this way it is possible to obtain high quality filter tips at high speed.