Abstract: This invention relates to a fully automatic curved-surface printing machine, which has a feeding mechanism, a screen block reciprocating mechanism, an elevation printing mechanism, a transmission system and a circulatory conveyor belt. The transmission system is the only means which provides the dynamic force to all the mechanisms. The feeding mechanism and the conveyor belt are set on the same conveying line. The feeding mechanism is designed to automatically push the curved-surface tube forward. The screen block reciprocating mechanism coordinates with an intermittent printing mechanism to enable the conveyor belt which moves intermittently to convey the curved-surface tube to the preset position. At this time the printing mechanism will push the curved-surface tube to the position ready for printing. The screen block reciprocating mechanism will activate the screen block to conduct its printing reciprocation.