Apparatus for checking tyres, the apparatus comprising: • a support on which said tyre is adapted to be rested, said tyre thus having a resting wall and a free wall defined in it, said free wall being arranged at a certain height with respect to said support; • a first deformation system configured to apply, through physical contact, a compression force on a surface of a first portion of said free wall, in order to elastically deform it so as to form a first deformed portion of free wall; • a first positioning actuator operatively associated with said first deformation system and configured to move said first deformation system towards and away from said surface of said first portion of free wall of said tyre, said movement having at least one component along a first axis parallel to a rotation axis of said tyre; • a first light source adapted for emitting a light radiation to illuminate said surface of said first deformed portion and a first camera adapted for detecting an image of said surface of said first deformed portion and for generating at least one signal representative of the image detected, • a second deformation system configured to apply, through physical contact, a compression force on a surface of a second portion of said free wall, in order to elastically deform it so as to form a second deformed portion of free wall; • a second positioning actuator operatively associated with said second deformation system and configured to move said second deformation system towards and away from said surface of said second portion of free wall of said tyre, said movement having at least one component along a second axis parallel to said rotation axis of said tyre; • a second light source adapted for emitting a light radiation to illuminate a further surface of said first deformed portion and a second camera adapted for detecting at least one further image of said further surface of said first deformed portion and for generating at least one signal representative of the further image detected; • a moving member to set said tyre in relative rotation about said rotation axis with respect to said first deformation system and said second deformation system, and • wherein a first plane passing through said rotation axis of said tyre and said first axis and a second plane passing through said rotation axis of said tyre and said second axis, form an angle between them comprised between about 90° and about 180°. • a support on which said tyre is adapted to be rested, said tyre thus having a resting wall and a free wall defined in it, said free wall being arranged at a certain height with respect to said support; • a first deformation system configured to apply, through physical contact, a compression force on a surface of a first portion of said free wall, in order to elastically deform it so as to form a first deformed portion of free wall; • a first positioning actuator operatively associated with said first deformation system and configured to move said first deformation system towards and away from said surface of said first portion of free wall of said tyre, said movement having at least one component along a first axis parallel to a rotation axis of said tyre; • a first light source adapted for emitting a light radiation to illuminate said surface of said first deformed portion and a first camera adapted for detecting an image of said surface of said first deformed portion and for generating at least one signal representative of the image detected, • a second deformation system configured to apply, through physical contact, a compression force on a surface of a second portion of said free wall, in order to elastically deform it so as to form a second deformed portion of free wall; • a second positioning actuator operatively associated with said second deformation system and configured to move said second deformation system towards and away from said surface of said second portion of free wall of said tyre, said movement having at least one component along a second axis parallel to said rotation axis of said tyre; • a second light source adapted for emitting a light radiation to illuminate a further surface of said first deformed portion and a second camera adapted for detecting at least one further image of said further surface of said first deformed portion and for generating at least one signal representative of the further image detected; • a moving member to set said tyre in relative rotation about said rotation axis with respect to said first deformation system and said second deformation system, and • wherein a first plane passing through said rotation axis of said tyre and said first axis and a second plane passing through said rotation axis of said tyre and said second axis, form an angle between them comprised between about 90° and about 180°.