This transcatheter device for the ablation of calcified tissue at the flaps of an aortic valve, is characterised in that it comprises a flexible body (1) acting as a catheter and having a soft and flexible end piece (2) that engages with a previously inserted wire guide (g) suitable for passing through the flaps of the valve above the part where the calcified tissue needs to be removed, said end piece (2) having at least one cutting system (3) comprising two motorised rotating cutting heads (3a) and (3b) disposed coaxially one above the other, the head (3a) located at the end of the end piece and acting first to remove the calcified tissue, has arrangements suitable for making a rough cut by grinding, while the other head (3b) has arrangements suitable for making a fine cut by grinding, said cutting system being mounted in combination with a vacuum suction means (4), said end piece (2) being provided with an adjustable guide means (5) suitable for engaging with the calcified tissue over the course of the ablation operation performed by the cutting system (3) in combination with a spiral path effect applied to the end piece.