A cutting apparatus, comprising: a cutting tool that includes: a hollow shaft body; and at least one insert attached to an end face of the shaft body and cuts by bringing the insert into contact with a work while rotating the shaft body; characterized by: a cutting tool cover comprising: a body portion adapted to be fixed to a top end portion of the shaft body; and an extension portion extended outward from the circumferential edge of the body portion at the entire circumference of the top end portion of the body portion, wherein said extension portion is adapted to cover the surface of the work around the cutting tool, with a predetermined clearance extending between a face (124; 124a; 124b) of the body portion and extension portion that faces the work and the surface of the work, wherein in the shaft body, a hollow portion formed on the axial center is provided over the entire length, and wherein the cutting apparatus further comprises a suction unit that is adapted to suck chips generated by cutting with the cutting tool by an airflow generated in the hollow portion of the cutting tool and in the clearance between the extension portion and the surface of the work. a cutting tool that includes: a hollow shaft body; and at least one insert attached to an end face of the shaft body and cuts by bringing the insert into contact with a work while rotating the shaft body; a hollow shaft body; and at least one insert attached to an end face of the shaft body and cuts by bringing the insert into contact with a work while rotating the shaft body; characterized by: a cutting tool cover comprising: a body portion adapted to be fixed to a top end portion of the shaft body; and an extension portion extended outward from the circumferential edge of the body portion at the entire circumference of the top end portion of the body portion, wherein said extension portion is adapted to cover the surface of the work around the cutting tool, with a predetermined clearance extending between a face (124; 124a; 124b) of the body portion and extension portion that faces the work and the surface of the work, wherein in the shaft body, a hollow portion formed on the axial center is provided over the entire length, and wherein the cutting apparatus further comprises a suction unit that is adapted to suck chips generated by cutting with the cutting tool by an airflow generated in the hollow portion of the cutting tool and in the clearance between the extension portion and the surface of the work. a body portion adapted to be fixed to a top end portion of the shaft body; and an extension portion extended outward from the circumferential edge of the body portion at the entire circumference of the top end portion of the body portion, wherein said extension portion is adapted to cover the surface of the work around the cutting tool, with a predetermined clearance extending between a face (124; 124a; 124b) of the body portion and extension portion that faces the work and the surface of the work, wherein in the shaft body, a hollow portion formed on the axial center is provided over the entire length, and wherein the cutting apparatus further comprises a suction unit that is adapted to suck chips generated by cutting with the cutting tool by an airflow generated in the hollow portion of the cutting tool and in the clearance between the extension portion and the surface of the work.