An exercise-cord anchored device is used to detachably secure an anchoring end of an elastic cord, and includes an anchored mount, a biasing member, and a tubular insert. The anchored mount has an inner tubular wall defining an insert opening and having an inserting route, a seat, and a rest wall. The biasing member is disposed in the insert opening. The tubular insert is coupled to the elastic cord, is insertable into the insert opening and is manually movable against the biasing force of the biasing member, and has a protuberance configured to be guided along the inserting route. When the mounting end is pushed manually to permit the protuberance to extend beyond the seat, the protuberance is turned angularly over the seat so as to abut against the rest wall, thereby retaining the tubular insert to the anchored mount.