Device for fixing the mobile fragment for alveolar distraction techniques in dental implantology, specifically to fix the free bone fragment to the top of the alveolar distractor (1), in case of an eventual loss of anchorage, ensuring the solidarity mobility of both elements, which consists in an auxiliary fixation means (2) which is incorporated so that it embraces the upper or transport bone fragment to the upper sleeve (12) of the alveolar distractor (1). Said auxiliary fixing means (2) is constituted by a staple, made of steel or titanium, which is configured from a body (21) of lateral configuration in C whose upper and lower branches, in turn, are divided into upper parallel legs (22) and lower (23) that determine corresponding upper (24) and lower (25) housings between which, once placed, the turns (13) of the upper bushing (12) of the alveolar distractor (1) are adjusted.Dispositivo de fijación del fragmento móvil para técnicas de distracción alveolar en implantología dental, concretamente para fijar el fragmento óseo libre a la parte superior del distractor (1) alveolar, ante una eventual pérdida de anclaje, asegurando la movilidad solidaria de ambos elementos, que consiste en un medio de fijación auxiliar (2) que se incorpora de modo que abraza el fragmento óseo superior o de transporte al casquillo superior (12) del distractor (1) alveolar. Dicho medio de fijación auxiliar (2) lo constituye una grapa, de acero o titanio, que se configura a partir de un cuerpo (21) de configuración lateral en C cuyas ramas superior e inferior, a su vez, se dividen en patas paralelas superiores (22) e inferiores (23) que determinan correspondientes alojamientos superior (24) e inferior (25) entre los que, una vez colocada, quedan ajustadas las espiras (13) del casquillo superior (12) del distractor (1) alveolar.