Minimally invasive catheters and methods are provided for adjusting the chordae associated with an atrio-ventricular valve. The catheter is adapted to engage a selected chord and draw it into a pair of transversely spaced, receptive clamps at the distal end of the catheter in readiness to be clamped The clamps are part of a prosthetic cord assembly that includes the clamps and a cord attached to each of the clamps. The effective length of a natural chord can be increased by employing a long prosthetic cord and clamping and severing the natural chord between the clamps. The effective length of a chord can be decreased by drawing the natural chord into the distal end of the catheter to a hairpin shape and clamping the legs of the hairpin- restrained chord. The chord need not be severed when its effective length is being reduced.