A bone holding device comprising: at least one conformable elongated member (7) having a first portion (7a), a second portion (7b) and an intermediate portion (7c) therebetween; a rod (5) with at least one transverse passage (8) which opens into at least one of two opposite side faces of the rod, said passage (8) being delimited by inner surfaces (9) of the rod, and at least one compression member (14), the compression member and said inner surfaces (9) both defining clamping surfaces (14a, 9a) and cooperating so that the first and second portions (7a, 7b) of the elongated member (7) can be inserted and clamped between said clamping surfaces (14a, 9a). A method using such a device.