An optical fiber connector for transmitting high optical power, specifically power exceeding 1 kW. The connector includes an optical fiber having one of its ends in direct optical contact with a body made of a transparent material. The body in connection with the optical fiber end has a surface with an area exceeding the contact surface area of the optical fiber. The surface of the transparent body has a substantially conical design in order to provide an efficient flowing geometry around the contact end of the fiber, to increase the surface area for incident power loss radiation and deviate such radiation towards the optical axis of the connector.