The apparatus is for internal inspection of a guide tube of a nuclear fuel assembly and measurement of deformations of a zone of smaller diameter in a terminal portion of the tube. The apparatus has a stick whose distal portion presents, in succession, starting from a distal end of the stick-shaped means, a guiding swelling having an easy fit in the zone of smaller diameter and two projections. The first projection carries two sets of diametrically opposite strain sensors provided with conductors linking them to a proximal end of the stick. A sleeve slides in a running portion of the guide tube above the zone of smaller diameter and slides over the stick. The sleeve and said stick-shaped means have mutually cooperating abutments for limiting displacement of the sleeve towards the distal portion to a position where the sleeve surrounds the stick.