Abstract: A connection flange for connecting an industrial machine is intended to bear against a collar provided on the body of the machine and to collaborate in clamping with a corresponding connection flange. The connection flange includes an annular one-piece flange body and a split locking piece which fits around a cylindrical part of the body of the machine. The locking piece includes a first face intended to bear against a bearing surface provided on the collar and a second face constituting a thrust surface against which the flange body presses at the time of clamping.