Abstract: The machine includes a feed-in station and a drilling station. The feed-in station comprises a carriage for advancing the glass sheets to be drilled. The carriage has a plurality of rollers, at least some of which are driving rollers, the rollers being effective to impart a forward movement to the glass sheet and are provided with a shroud with helical pattern ridges for combining this forward movement with an approaching movement of the glass sheet towards a reference element and an abutment member connected to the frame of the feed-in station and a gripper assembly for carrying said glass sheet towards an adjustable drilling position.