A complex machining turning center in which a tool post is arranged to be moved on a bed along an X-axis by a slide rest, a tailstock is arranged to be moved along a Z-axis direction, and a headstock is arranged to be moved in a C-axis direction, the complex machining turning center comprising: a B-axis swing movement unit which allows the headstock to swing along a B-axis on a plane coordinate formed by the X-axis and the Z-axis; and characterized by a Y-axis up/down movement unit which allows the headstock to be moved upward and downward along a Y-axis that crosses the X-axis and the Z-axis wherein the B-axis swing movement unit includes: a B-axis body; a swing unit which is disposed inside the B-axis body, connected with the headstock, and is arranged to swing along with the headstock; a swing power transmission unit which is engaged with the swing unit and transmits swing power; and a B-axis swing power generating unit which is connected to the swing power transmission unit, is arranged to generate rotational power, and allows the swing power transmission unit to swing by the generated rotational power; wherein the Y-axis up/down movement unit includes: a Y-axis guide which is formed inside the swing unit, has the same shape as the swing unit, and is arranged to be operated along with the headstock; a power transmission unit which is disposed to be elongated in the Y-axis direction, and connected with the Y-axis guide; and a Y-axis power generating unit which is arranged to generate power for the Y-axis up/down movement. a B-axis swing movement unit which allows the headstock to swing along a B-axis on a plane coordinate formed by the X-axis and the Z-axis; and characterized by a Y-axis up/down movement unit which allows the headstock to be moved upward and downward along a Y-axis that crosses the X-axis and the Z-axis wherein the B-axis swing movement unit includes: a B-axis body; a swing unit which is disposed inside the B-axis body, connected with the headstock, and is arranged to swing along with the headstock; a swing power transmission unit which is engaged with the swing unit and transmits swing power; and a B-axis swing power generating unit which is connected to the swing power transmission unit, is arranged to generate rotational power, and allows the swing power transmission unit to swing by the generated rotational power; a B-axis body; a swing unit which is disposed inside the B-axis body, connected with the headstock, and is arranged to swing along with the headstock; a swing power transmission unit which is engaged with the swing unit and transmits swing power; and a B-axis swing power generating unit which is connected to the swing power transmission unit, is arranged to generate rotational power, and allows the swing power transmission unit to swing by the generated rotational power; wherein the Y-axis up/down movement unit includes: a Y-axis guide which is formed inside the swing unit, has the same shape as the swing unit, and is arranged to be operated along with the headstock; a power transmission unit which is disposed to be elongated in the Y-axis direction, and connected with the Y-axis guide; and a Y-axis power generating unit which is arranged to generate power for the Y-axis up/down movement. a Y-axis guide which is formed inside the swing unit, has the same shape as the swing unit, and is arranged to be operated along with the headstock; a power transmission unit which is disposed to be elongated in the Y-axis direction, and connected with the Y-axis guide; and a Y-axis power generating unit which is arranged to generate power for the Y-axis up/down movement.