The mechanical timepiece movement includes an escapement having a pallet-lever arranged to move alternately into abutment with two banking elements in locking periods. The pallet-lever carries at least a first permanent magnet and the timepiece movement further includes a first element and a second element of high magnetic permeability and a second magnet and a third magnet respectively integral with first and second elements of high magnetic permeability and each arranged on an opposite side to a first magnet relative to the respective elements of high magnetic permeability. This magnetic system generates, in a first part of a first half vibration of any vibration of the pallet-lever, an overall force of magnetic attraction, defining a magnetic draw additional to the mechanical draw generated by the escape wheel, and, in a second part of this first half vibration, an overall force of magnetic repulsion.