A method for non-destructive inspection of a fruit having an axis of rotational symmetry, comprising the steps of: - positioning the fruit in such a way that its axis of rotational symmetry has an orientation that is substantially parallel to a predetermined plane; - radiographing the fruit, wherein X-rays are emitted with a direction of emission that is substantially perpendicular to said predetermined plane and wherein an X-ray image obtained lies on said predetermined plane, being a projection on said predetermined plane; - processing the X-ray image obtained to calculate, at corresponding points of the X-ray image, respective values of attenuation of X-ray signal through the fruit; - dividing the X-ray image into a plurality of sections which are perpendicular to a projection of the axis of rotational symmetry on the predetermined plane, each section being a projection of a corresponding slice of the fruit that is substantially perpendicular to the axis of rotational symmetry; and wherein, for each section, the method comprises the sub-steps of: - determining two end points corresponding to a projection of an outer contour of the fruit, each end point being identifiable as a border between a region with null attenuation of the X-ray signal and a region with increasing or decreasing attenuation of the X-ray signal; - from the respective values calculated by processing the X-ray image obtained, obtaining a trend, between the two end points, of the attenuation of the X-ray signal; - calculating a reference trend, between the two end points, of the attenuation of the X-ray signal, adopting an attenuation coefficient having a value that is constant for the corresponding slice of the fruit; - between the two end points, calculating a deviation between the obtained trend of the attenuation of the X-ray signal and the reference trend; - examining a trend of the deviation, between the two end points, in order to identify any anomalies, discontinuities or variations which are indicative of respective non-uniformities in the corresponding slice of fruit. - positioning the fruit in such a way that its axis of rotational symmetry has an orientation that is substantially parallel to a predetermined plane; - radiographing the fruit, wherein X-rays are emitted with a direction of emission that is substantially perpendicular to said predetermined plane and wherein an X-ray image obtained lies on said predetermined plane, being a projection on said predetermined plane; - processing the X-ray image obtained to calculate, at corresponding points of the X-ray image, respective values of attenuation of X-ray signal through the fruit; - dividing the X-ray image into a plurality of sections which are perpendicular to a projection of the axis of rotational symmetry on the predetermined plane, each section being a projection of a corresponding slice of the fruit that is substantially perpendicular to the axis of rotational symmetry; - determining two end points corresponding to a projection of an outer contour of the fruit, each end point being identifiable as a border between a region with null attenuation of the X-ray signal and a region with increasing or decreasing attenuation of the X-ray signal; - from the respective values calculated by processing the X-ray image obtained, obtaining a trend, between the two end points, of the attenuation of the X-ray signal; - calculating a reference trend, between the two end points, of the attenuation of the X-ray signal, adopting an attenuation coefficient having a value that is constant for the corresponding slice of the fruit; - between the two end points, calculating a deviation between the obtained trend of the attenuation of the X-ray signal and the reference trend; - examining a trend of the deviation, between the two end points, in order to identify any anomalies, discontinuities or variations which are indicative of respective non-uniformities in the corresponding slice of fruit.