A first part of an annuloplasty structure is anchored to an annulus of a valve of a heart by using a driver to screw a tissue-coupling element of a first anchor into a first site of the annulus, such that the tissue-coupling element enters cardiac tissue in a direction parallel to a central longitudinal axis of the driver through the distal end of the anchor driver. The same is subsequently done for second and third parts of the annuloplasty structure using second and third anchors at second and third sites of the annulus, mutatis mutandis. Between anchors, the driver is retracted out of the heart. Subsequently, the valve is treated by reducing a distance between the first site and the second site, and a distance between the second site and the third site, by tightening a flexible and elongate contracting member of the annuloplasty structure.