A numerically-controlled lathe with program-controlled tool heads comprising a slide which is controlled by a numerical control unit according to tape commands in movement in parallel with and at a right angle to an axis of a spindle of a headstock, a single or plural number of No. 1 tool heads which are mounted on said slide and provided with a plural number of cutting tools to be used to cut an outside diameter and inside diameter of a workpiece being mounted on said spindle, a movable head which is located away from said slide in reference to the headstock and is controlled by a presetting means of a presetting type program control different from said numerical control unit with respect to a movement in parallel with the axis of the spindle and No. 2 tool head which is mounted on said movable head and is provided with a cutting tool to be used to cut the inside or outside diameter of said workpiece, wherein a signal generated from said numerical control unit which controls the No. 1 tool head is received by the presetting type program control unit which controls the No. 2 tool head and a signal generated from the presetting means of the presetting type program control unit is received by said numerical control unit to make the presetting type program control unit different from said numerical control unit and the numerical control unit according to tape commands mutually restrict and control, in the numerically-controlled lathe with program-controlled tool heads including said Nos. 1 and 2 tool heads capable of simultaneous cutting.