Method for lowering an object in a water body from a vessel floating on the water body, the vessel comprising first hoisting means, and second hoisting means (3") arranged on or near the vessel, with at least a first anti-twist frame (4, 4') being connected to a lower end of a first hoisting cable of the first hoisting means, the object being attached to the lower end of the first hoisting cable, below the ATF, comprising the steps of: a) adjusting the vessel's heading such that the vessel is substantially aligned with the wind/wave/swell direction, b) lowering the object in the water body with the first hoisting means until the object has reached a first depth (Fig. 2, Fig. 3); c) using the second hoisting means to lower the object together with the first hoisting means as found in step b), wherein the second hoisting means is connected to another part of the object (i), or else, to lower a clump weight in the water body to the first depth, wherein the clump weight is connected to the lower end of the second hoisting cable (ii), d) providing an anti-twist wire extending between the first ATF and the second hoisting cable (27") (Fig. 4a, Fig. 4b), the first ATF comprising a circumferential part with connection means arranged for connecting the anti-twist wire at a plurality of connection points (20', 20") on the circumferential part, in a plurality of directions, and selecting such a connection point that, after connection, twist of the first hoisting cable is minimized, and a central part for attachment to a crane block, wherein the circumferential part is connected to the central part and extends in a plane perpendicular to the respective hoisting cable, during use, wherein multiple connection means, such as pad-eyes, are arranged at multiple positions along the circumference of the circumferential part to allow the longitudinal direction of the anti-twist wire to intersect the longitudinal direction of the respective hoisting cable for a plurality of anti-twist wire directions, wherein the connection means are spaced-apart along the circumference, and e) using the first and/or second hoisting means to lower the object (Fig. 4a, Fig. 5; Fig. 4b) onto the bottom of the water body. a) adjusting the vessel's heading such that the vessel is substantially aligned with the wind/wave/swell direction, b) lowering the object in the water body with the first hoisting means until the object has reached a first depth (Fig. 2, Fig. 3); c) using the second hoisting means to lower the object together with the first hoisting means as found in step b), wherein the second hoisting means is connected to another part of the object (i), or else, to lower a clump weight in the water body to the first depth, wherein the clump weight is connected to the lower end of the second hoisting cable (ii), d) providing an anti-twist wire extending between the first ATF and the second hoisting cable (27") (Fig. 4a, Fig. 4b), the first ATF comprising a circumferential part with connection means arranged for connecting the anti-twist wire at a plurality of connection points (20', 20") on the circumferential part, in a plurality of directions, and selecting such a connection point that, after connection, twist of the first hoisting cable is minimized, and a central part for attachment to a crane block, wherein the circumferential part is connected to the central part and extends in a plane perpendicular to the respective hoisting cable, during use, wherein multiple connection means, such as pad-eyes, are arranged at multiple positions along the circumference of the circumferential part to allow the longitudinal direction of the anti-twist wire to intersect the longitudinal direction of the respective hoisting cable for a plurality of anti-twist wire directions, wherein the connection means are spaced-apart along the circumference, and e) using the first and/or second hoisting means to lower the object (Fig. 4a, Fig. 5; Fig. 4b) onto the bottom of the water body.