Method for checking tyres, comprising: - providing a tyre to be checked; - providing an acquisition system for the acquisition of two-dimensional images of a surface of said tyre, wherein said acquisition system comprises a camera, a first illumination system and a second illumination system, wherein the camera has a first optical axis, wherein the first illumination system comprises a first light source, a second light source and a third light source, wherein each of the second light source and third light source can move between a respective active position more advanced along said first optical axis, and more distal from said first optical axis, with respect to the first light source, and a respective inactive position more backward along said first optical axis with respect to the first light source, and wherein the second illumination system is configured to emit a beam of light rays parallel to each other or wherein at least 90% of the overall emitted rays form an angle of divergence less than or equal to 15° and it has a second optical axis which forms an angle with the first optical axis greater than or equal to 60° and less than or equal to 100°; - illuminating a first portion of outer surface of said tyre by means of said first illumination system with said first light source turned on and said second light source and third light source in the respective inactive positions, and acquiring a first two-dimensional image of said first portion of outer surface by means of said camera exerting at the same time a compression force onto said surface of said tyre in proximity of said first portion of outer surface in order to elastically deform said first portion of outer surface; - illuminating a second portion of outer surface of said tyre by means of said first light source, second light source and third light source in time sequence, with said second light source and third light source in the respective active position, and acquiring respective second two-dimensional images of said second portion of outer surface by means of said camera; - illuminating a third portion of outer surface of said tyre by means of said second illumination system with said first illumination system turned off, and acquiring a third two-dimensional image of said third portion of outer surface by means of said camera. - providing a tyre to be checked; - providing an acquisition system for the acquisition of two-dimensional images of a surface of said tyre, wherein said acquisition system comprises a camera, a first illumination system and a second illumination system, wherein the camera has a first optical axis, wherein the first illumination system comprises a first light source, a second light source and a third light source, wherein each of the second light source and third light source can move between a respective active position more advanced along said first optical axis, and more distal from said first optical axis, with respect to the first light source, and a respective inactive position more backward along said first optical axis with respect to the first light source, and wherein the second illumination system is configured to emit a beam of light rays parallel to each other or wherein at least 90% of the overall emitted rays form an angle of divergence less than or equal to 15° and it has a second optical axis which forms an angle with the first optical axis greater than or equal to 60° and less than or equal to 100°; - illuminating a first portion of outer surface of said tyre by means of said first illumination system with said first light source turned on and said second light source and third light source in the respective inactive positions, and acquiring a first two-dimensional image of said first portion of outer surface by means of said camera exerting at the same time a compression force onto said surface of said tyre in proximity of said first portion of outer surface in order to elastically deform said first portion of outer surface; - illuminating a second portion of outer surface of said tyre by means of said first light source, second light source and third light source in time sequence, with said second light source and third light source in the respective active position, and acquiring respective second two-dimensional images of said second portion of outer surface by means of said camera; - illuminating a third portion of outer surface of said tyre by means of said second illumination system with said first illumination system turned off, and acquiring a third two-dimensional image of said third portion of outer surface by means of said camera.