A fastening system for fastening installation elements in a cabin of a vehicle, having a fastening element and at least one fastening device, comprising the fastening device - a flanged housing having an interior formed therein, - a closure element, - a hollow ball element which can be inserted into the interior of the flange housing, and - a ball insert insertable into the hollow ball element with an opening having first engagement means wherein the interior of the flanged housing has a first spherical bearing surface which, for pivoting the hollow ball element, is designed to correspond with an outer surface of the hollow ball element, a first guide device allowing pivoting exclusively about a first pivot axis, wherein the hollow ball element has on the inside a second spherical bearing surface which is designed to correspond with an outer surface of the ball insert for pivoting the ball insert, wherein a second guide device permits pivoting exclusively about a second pivot axis, wherein the closure element closes the interior at least in sections in such a way that the hollow ball element is held in the interior, the fastening element being insertable into the ball insert and having second engagement means, and wherein the first and second engagement means (55, 54) are formed such that in a first rotational position the fastening element can be freely inserted into the opening and in a second rotational position the first and second engagement means (55, 54) engage one another. - a flanged housing having an interior formed therein, - a closure element, - a hollow ball element which can be inserted into the interior of the flange housing, and - a ball insert insertable into the hollow ball element with an opening having first engagement means wherein the interior of the flanged housing has a first spherical bearing surface which, for pivoting the hollow ball element, is designed to correspond with an outer surface of the hollow ball element, a first guide device allowing pivoting exclusively about a first pivot axis, wherein the hollow ball element has on the inside a second spherical bearing surface which is designed to correspond with an outer surface of the ball insert for pivoting the ball insert, wherein a second guide device permits pivoting exclusively about a second pivot axis, wherein the closure element closes the interior at least in sections in such a way that the hollow ball element is held in the interior, the fastening element being insertable into the ball insert and having second engagement means, and wherein the first and second engagement means (55, 54) are formed such that in a first rotational position the fastening element can be freely inserted into the opening and in a second rotational position the first and second engagement means (55, 54) engage one another. wherein the interior of the flanged housing has a first spherical bearing surface which, for pivoting the hollow ball element, is designed to correspond with an outer surface of the hollow ball element, a first guide device allowing pivoting exclusively about a first pivot axis, wherein the hollow ball element has on the inside a second spherical bearing surface which is designed to correspond with an outer surface of the ball insert for pivoting the ball insert, wherein a second guide device permits pivoting exclusively about a second pivot axis, wherein the closure element closes the interior at least in sections in such a way that the hollow ball element is held in the interior, the fastening element being insertable into the ball insert and having second engagement means, and wherein the first and second engagement means (55, 54) are formed such that in a first rotational position the fastening element can be freely inserted into the opening and in a second rotational position the first and second engagement means (55, 54) engage one another.