A stent (10) for use in a prosthetic heart valve has an annulus section (12) adapted for placement within the ′ leaflets and annulus of the native heart valve. The annulus section has latch members (50) adapted to engage the leaflets of the native heart valve when prosthetic valve is implanted in the native valve. The latch members may hold the leaflets in engagement with the annulus section, and help to retain the prosthetic valve in position. The annulus section may have a non-circular cross-sectional shape.
