A ball joint for fastening a headlight in a vehicle, comprising a joint journal which comprises a joint ball, which merges on one side into an end face of a substantially cylindrical joint shaft, and a joint socket for receiving the joint ball, and at least two rear joint wings being formed around the circumference of the joint socket, oriented counter to the installation direction of the joint journal and inclined radially to the imaginary longitudinal axis of the joint socket, and at least two front joint wings being formed around the circumference of the joint socket, oriented in the installation direction of the joint journal and inclined radially to the imaginary longitudinal axis of the joint socket, the at least two rear joint wings and the at least two front joint wings being designed to bear against the joint ball and to be pressed against the joint ball by spring force, and at least two rear retaining wings being arranged around the circumference of the joint socket, oriented counter to the installation direction of the joint socket and inclined radially away from the imaginary longitudinal axis of the joint socket, and the at least two rear retaining wings being designed to prevent slippage of the joint socket in the supporting frame in the installation direction of the joint socket, and at least two front retaining wings being arranged around the circumference of the joint socket, oriented counter to the installation direction of the joint socket and inclined radially away from the imaginary longitudinal axis of the joint socket, and the at least two front retaining wings being designed to prevent slippage of the joint socket in the supporting frame counter to the installation direction of the joint socket, characterised in that the joint socket has a hollow-cylindrical main shape and consists of a spring-elastic metal, and the ball joint also comprises a supporting frame having an opening which is suitable for holding the joint socket, and the supporting frame also comprises at least two bridges, preferably at least three bridges, which are arranged around the circumference of the opening of the supporting frame, extend in an axial direction and are connected to one another by at least one bridge connector, wherein inner surfaces of the at least two bridges and/or of the at least one bridge connector are at least partially formed complementarily to the outer surface of the joint socket and are designed to support the joint socket, and wherein at least two rear retaining wings are arranged around the circumference of the hollow-cylindrical joint socket, oriented counter to the installation direction of the joint socket and inclined away from the imaginary longitudinal axis of the joint socket, and the at least two rear retaining wings are designed to prevent slippage of the joint socket in the supporting frame in the installation direction of the joint socket, and wherein at least two front retaining wings are arranged around the circumference of the hollow-cylindrical joint socket, oriented counter to the installation direction of the joint socket and inclined radially away from the imaginary longitudinal axis of the joint socket, preferably oriented normally to the imaginary longitudinal axis of the joint socket, and the at least two front retaining wings are designed to prevent slippage of the joint socket in the supporting frame counter to the installation direction of the joint socket.