A valve prosthesis includes one or more anti-paravalvular leakage components coupled to a stent. The anti-paravalvular leakage component may encircle the stent and include a radially expandable control ring coupled to an unattached edge of a flexible skirt which extends the unattached skirt edge outwardly away from the stent and against the native heart valve to form an open-ended annular pocket around the stent. The anti-paravalvular leakage component may encircle the perimeter of the stent and include a flexible skirt having opposing edges coupled to the stent to form one or more enclosed compartments around the stent. Each compartment includes a one-way valve which allows for blood flow into the compartment but prevents blood flow out of the compartment. The anti-paravalvular leakage component may be at least one flap that is coupled to an inner surface of the stent and formed of a flexible material moveable by blood flow.
