A non-rotating boring tool for internal turning comprising: - a boring bar comprising an elongated body configured for attachment to a support structure of a metal cutting machine, the elongated body having a rear end and an opposite front end; and - a tool part provided with a cutting element, wherein this tool part is detachably attached to or integrally formed with the front end of the elongated body, the cutting element comprising a rake side, a relief surface and a cutting edge formed at an intersection between the rake side and the relief surface, wherein when seen in a cross-sectional plane that is perpendicular to a longitudinal axis of the elongated body and intersects the cutting edge in a radially outermost point: • a straight and imaginary first reference line L1 intersects the cutting edge in the radially outermost point and extends at an angle (β) of 6° to the relief surface on the outside of the cutting element, and • a straight and imaginary second reference line L2 intersects the cutting edge in the radially outermost point and extends between the rake side and the relief surface at an angle (α) of 10-40° to the first reference line L1, wherein the boring bar comprises a first electrically controlled vibration actuator (8; 8a) for active vibration damping of the boring bar, the first actuator (8; 8a) being configured to generate vibratory forces in parallel or substantially in parallel with a working axis (10; 10a) of the first actuator, wherein the first actuator (8; 8a) is a single-axis actuator having one single working axis (10; 10a); characterised in: - that the first actuator (8; 8a) is arranged in the elongated body with its working axis (10; 10a) extending in parallel or substantially in parallel with said second reference line L2. - a boring bar comprising an elongated body configured for attachment to a support structure of a metal cutting machine, the elongated body having a rear end and an opposite front end; and - a tool part provided with a cutting element, wherein this tool part is detachably attached to or integrally formed with the front end of the elongated body, the cutting element comprising a rake side, a relief surface and a cutting edge formed at an intersection between the rake side and the relief surface, wherein when seen in a cross-sectional plane that is perpendicular to a longitudinal axis of the elongated body and intersects the cutting edge in a radially outermost point: • a straight and imaginary first reference line L1 intersects the cutting edge in the radially outermost point and extends at an angle (β) of 6° to the relief surface on the outside of the cutting element, and • a straight and imaginary second reference line L2 intersects the cutting edge in the radially outermost point and extends between the rake side and the relief surface at an angle (α) of 10-40° to the first reference line L1, wherein the boring bar comprises a first electrically controlled vibration actuator (8; 8a) for active vibration damping of the boring bar, the first actuator (8; 8a) being configured to generate vibratory forces in parallel or substantially in parallel with a working axis (10; 10a) of the first actuator, wherein the first actuator (8; 8a) is a single-axis actuator having one single working axis (10; 10a); characterised in: - that the first actuator (8; 8a) is arranged in the elongated body with its working axis (10; 10a) extending in parallel or substantially in parallel with said second reference line L2. • a straight and imaginary first reference line L1 intersects the cutting edge in the radially outermost point and extends at an angle (β) of 6° to the relief surface on the outside of the cutting element, and • a straight and imaginary second reference line L2 intersects the cutting edge in the radially outermost point and extends between the rake side and the relief surface at an angle (α) of 10-40° to the first reference line L1, wherein the boring bar comprises a first electrically controlled vibration actuator (8; 8a) for active vibration damping of the boring bar, the first actuator (8; 8a) being configured to generate vibratory forces in parallel or substantially in parallel with a working axis (10; 10a) of the first actuator, wherein the first actuator (8; 8a) is a single-axis actuator having one single working axis (10; 10a); characterised in: - that the first actuator (8; 8a) is arranged in the elongated body with its working axis (10; 10a) extending in parallel or substantially in parallel with said second reference line L2. - that the first actuator (8; 8a) is arranged in the elongated body with its working axis (10; 10a) extending in parallel or substantially in parallel with said second reference line L2.