A method for manufacturing a composite member, the method comprising the steps of: manufacturing a first member in a machining area of a machine tool configured to perform subtractive machining, the first member being composed of a first material and being a base member of the composite member, including cutting a workpiece using the machine tool to manufacture the first member and to form a predetermined pattern of a recess portion in the surface of the first member; adding a second material different from the first material on a surface of the first member in the machining area, using additive manufacturing performed by an additive manufacturing apparatus, the additive manufacturing employing directed energy deposition as an additive manufacturing process performed by an additive manufacturing apparatus, wherein, in the step of adding the second material, the second material is added to the recess portion of the workpiece; removing a portion of a second member composed of the added second material in the machining area; and manufacturing a third member in the machining area using the additive manufacturing to cover the second member after the removing such that the second member is not exposed, wherein the steps of adding the second material and manufacturing the third member in the machining area further comprise: rotating the first member; and moving the additive manufacturing apparatus relative to the first member, wherein: the third member is composed of the first material or a third material different from the first material and the second material, and the second material has a strength which is lower than a strength of the first material and a thermal conductivity which is higher than a thermal conductivity of the first material. manufacturing a first member in a machining area of a machine tool configured to perform subtractive machining, the first member being composed of a first material and being a base member of the composite member, including cutting a workpiece using the machine tool to manufacture the first member and to form a predetermined pattern of a recess portion in the surface of the first member; adding a second material different from the first material on a surface of the first member in the machining area, using additive manufacturing performed by an additive manufacturing apparatus, the additive manufacturing employing directed energy deposition as an additive manufacturing process performed by an additive manufacturing apparatus, wherein, in the step of adding the second material, the second material is added to the recess portion of the workpiece; removing a portion of a second member composed of the added second material in the machining area; and manufacturing a third member in the machining area using the additive manufacturing to cover the second member after the removing such that the second member is not exposed, wherein the steps of adding the second material and manufacturing the third member in the machining area further comprise: rotating the first member; and moving the additive manufacturing apparatus relative to the first member, wherein: the third member is composed of the first material or a third material different from the first material and the second material, and the second material has a strength which is lower than a strength of the first material and a thermal conductivity which is higher than a thermal conductivity of the first material. rotating the first member; and moving the additive manufacturing apparatus relative to the first member, wherein: the third member is composed of the first material or a third material different from the first material and the second material, and the second material has a strength which is lower than a strength of the first material and a thermal conductivity which is higher than a thermal conductivity of the first material. the third member is composed of the first material or a third material different from the first material and the second material, and the second material has a strength which is lower than a strength of the first material and a thermal conductivity which is higher than a thermal conductivity of the first material.