A valve drive device which can prevent a locknut fixing a stem nut to a drive sleeve from getting loosened. The valve drive device comprises: the stem nut for screwing a valve stem thereinto; the drive sleeve engaging with a male spline formed on a peripheral outer surface of said stem nut, said drive sleeve including a worm gear on a peripheral outer surface thereof; a worm in meshing engagement with said worm gear; and a housing that supports said drive sleeve by bearings. The valve drive device further comprises: a stem nut fastening member having a first male screw that engages with a female screw provided on a peripheral inner surface of said drive sleeve; and a locknut that engages with a second male screw provided on a reduced diameter portion of said stem nut fastening member, said second male screw having a reverse screw thread relative to said first male screw, so that no slack may arise between said stem nut fastening member and said drive sleeve.