A compound machining center is provided which includes at least one work driving unit, including a chuck, mounted on a bed and adapted to rotate a work to be worked in a state in which the chuck grasps a first end of the work. At least one tail stock center is mounted on the bed and adapted to support a second end of the work so as to support the work on a working axial line between the tail stock center and the chuck of the work driving unit. At least one working unit is disposed on the bed to be movable in an X-axis direction parallel to the working axis line and a Y-axis direction normal to the X-axis direction. And at least one tool is mountable to the working unit to be linearly movable in a tangential direction of the work.