A cable clamping device for the fastening of bones (31) that firmly holds the objects to be held, pulling the two arms that extend from the knot of a cable that holds the objects to be held, which comprises a grip part ( 33) to hold with one hand, a rod-shaped component (34) extending forward from the gripping part (33), a knot support means (35, 170) provided at the tip of the shaped component of rod (34) to hold the knot when the two arms are pulled, a sliding block (36, 97, 100, 110, 120, 136, 150) mounted around the rod-shaped component (34) in a sliding form longitudinally, that sliding block (36, 97, 100, 110, 120, 136, 150) is provided with a cable retention means that grips and holds the two arms together, a traction means installed in the gripping part (33 ) for pulling the sliding block (36, 97, 100, 110, 120, 136, 150), said pulling means that it is connected to the sliding block (36, 97, 100, 110, 120, 136, 150) through a voltage transmission means (37), a drive lever (40) provided in the grip part (33) for actuate the pulling means, in which the knot support means (35, 170) has a structure that defines, above the rod-shaped component (34), (1) support faces on both sides thereof, on which the two arms can be hooked away from each other and laterally in relation to the longitudinal axis of the rod-shaped component (34), and / or (2) a slit (S) or perforation (B) through which the two arms can be passed, and in which the cable retention means provided in the sliding block (36, 97, 100, 110, 120, 136, 150) comprises (a) a longitudinal passage groove (42, 130 , 160) defined in the upper part of the sliding block (36, 97, 100, 110, 120, 136, 150), (b) a locking recess (44, 132, 162) extending in the extr posterior emo of the passage groove (42, 130, 160), either through the cross section of the passage groove (130, 160) or containing the cross section of the passage groove (42) along the central axis thereof, and whose width, in the cross section thereof, wi