This fastening device comprises a bearing member intended to bear against the outer cortex of a bone and provided with a passage orifice, and a flexible connecting member configured to connect the ligament transplant to the bearing member. The connecting member comprises a tubular portion configured to extend through the passage orifice and can be deformed between a first state in which the tubular portion has a first inner diameter, and a second state in which the tubular portion has a second inner diameter smaller than the first inner diameter. The connecting member also comprises a first and a second traction portions disposed respectively on either side of the tubular portion, the tubular portion being configured to be deformed towards the second state thereof when a traction is exerted on at least one of the first and second traction portions.
