Horological movement comprising a mechanical resonator and an escapement which is connected to this mechanical resonator, the escapement comprising an escapement wheel, which has a plurality of projecting parts, and an anchor which is separated from the mechanical resonator and which has a single geometric axis of rotation; the mechanical resonator being coupled to the anchor such that when this mechanical resonator is maintained in oscillation, the anchor is subject to an alternative movement between two rest positions in which the anchor rests alternatively during successive time intervals, wherein the anchor comprises: - a single pivoting axis centred on said single geometric axis of rotation, - a rigid connecting portion to which the pivoting axis is fixed, - two arms (24, 26) connected, at their firsts ends, to the connecting portion and having respectively, at their second end, two mechanical pallets (28, 29) which are each able to come into contact with any projecting part of the plurality of parts projecting from the escapement wheel and which are arranged to cooperate with these projecting parts at least in a start-up phase or during normal functioning of the horological movement, - a fork having two horns (19a, 19b) and arranged to cooperate with the mechanical resonator via a pin integral with an axis of this mechanical resonator, and - a stick connected at its first end to said connecting portion and at its second end to the fork, said stick being free between its first end and its second end; wherein, during rocking of the anchor from a first of its two rest positions in the direction of its second rest position while the escapement wheel is positioned in any angular position θ of a plurality of ranges of angular positions corresponding respectively to said plurality of projecting parts, one of the two mechanical pallets abuts against one of these projecting parts before the anchor can reach an angular position of disengagement of the pin from the side of the second rest position; characterised in that the anchor is arranged, during said rocking of the anchor, to be able to bend in a general plane of the anchor parallel to the fork, by being subjected to elastic deformation from the action of a force exerted by the pin engaged in the fork on one of the two horns of this fork while said mechanical pallet abuts against said projecting part and the mechanical resonator is braked by the anchor; said anchor having an elastic capacity, between each of the two mechanical pallets and the fork, enabling it to absorb elastically, during said elastic deformation, a maximum mechanical energy which the mechanical resonator can have during the normal functioning of the horological movement. - a single pivoting axis centred on said single geometric axis of rotation, - a rigid connecting portion to which the pivoting axis is fixed, - two arms (24, 26) connected, at their firsts ends, to the connecting portion and having respectively, at their second end, two mechanical pallets (28, 29) which are each able to come into contact with any projecting part of the plurality of parts projecting from the escapement wheel and which are arranged to cooperate with these projecting parts at least in a start-up phase or during normal functioning of the horological movement, - a fork having two horns (19a, 19b) and arranged to cooperate with the mechanical resonator via a pin integral with an axis of this mechanical resonator, and - a stick connected at its first end to said connecting portion and at its second end to the fork, said stick being free between its first end and its second end;