Lamp with at least one low-voltage LED light source, wherein said at least one LED light source has, at its axial ends, at least one electrical and/or mechanical connecting plug, said lamp comprising: - at least one supporting body for said LED light source; - at least one supporting plate for said at least one LED light source, wherein: - said at least one supporting body has at least one housing seat (11.1) for said at least one supporting plate of said at least one LED light source, - said at least one supporting plate comprises a fixed and rotation limiting circular arc-shaped cradle support, having an axis (X-X), and - said at least one plate is disposed fixed and prevented from rotating with respect to said supporting body; - at least one rotational connector means for said at least one LED light source in said rotation limiting cradle support, oscillating around said axis (X-X), configured as a small plate having at least one notch (14.1) open on the peripheral boundary to create a mechanical connection with said plug and at least one shoulder (14.3) cooperating with said rotation limiting cradle support; - at least one laminar electrical contact, which creates an electrical contact with said at least one LED light source; - connecting means for said supporting plate and said rotational connector means with the possibility of oscillating around said axis (X-X), characterised in that said lamp further comprises: - said at least one LED light source having on each of its axial ends at least two plugs; - at least a pair of notches (14.1) made in said small plate, parallel to one another and having a distance between one another equal to the distance between said at least two plugs protruding from a respective end of said at least one LED light source; - at least one pair of laminar electrical contacts fixed to said rotational connector means, and which create an electrical contact with said two plugs, which are mechanically connected to said notches (14.1). - at least one supporting body for said LED light source; - at least one supporting plate for said at least one LED light source, wherein: - said at least one supporting body has at least one housing seat (11.1) for said at least one supporting plate of said at least one LED light source, - said at least one supporting plate comprises a fixed and rotation limiting circular arc-shaped cradle support, having an axis (X-X), and - said at least one plate is disposed fixed and prevented from rotating with respect to said supporting body; - at least one rotational connector means for said at least one LED light source in said rotation limiting cradle support, oscillating around said axis (X-X), configured as a small plate having at least one notch (14.1) open on the peripheral boundary to create a mechanical connection with said plug and at least one shoulder (14.3) cooperating with said rotation limiting cradle support; - at least one laminar electrical contact, which creates an electrical contact with said at least one LED light source; - connecting means for said supporting plate and said rotational connector means with the possibility of oscillating around said axis (X-X), characterised in that said lamp further comprises: - said at least one LED light source having on each of its axial ends at least two plugs; - at least a pair of notches (14.1) made in said small plate, parallel to one another and having a distance between one another equal to the distance between said at least two plugs protruding from a respective end of said at least one LED light source; - at least one pair of laminar electrical contacts fixed to said rotational connector means, and which create an electrical contact with said two plugs, which are mechanically connected to said notches (14.1). - said at least one supporting body has at least one housing seat (11.1) for said at least one supporting plate of said at least one LED light source, - said at least one supporting plate comprises a fixed and rotation limiting circular arc-shaped cradle support, having an axis (X-X), and - said at least one plate is disposed fixed and prevented from rotating with respect to said supporting body; - at least one rotational connector means for said at least one LED light source in said rotation limiting cradle support, oscillating around said axis (X-X), configured as a small plate having at least one notch (14.1) open on the peripheral boundary to create a mechanical connection with said plug and at least one shoulder (14.3) cooperating with said rotation limiting cradle support; - at least one laminar electrical contact, which creates an electrical contact with said at least one LED light source; - connecting means for said supporting plate and said rotational connector means with the possibility of oscillating around said axis (X-X), - said at least one LED light source having on each of its axial ends at least two plugs; - at least a pair of notches (14.1) made in said small plate, parallel to one another and having a distance between one another equal to the distance between said at least two plugs protruding from a respective end of said at least one LED light source; - at least one pair of laminar electrical contacts fixed to said rotational connector means, and which create an electrical contact with said two plugs, which are mechanically connected to said notches (14.1).