A mechanism for displacing the doors of a piece of furniture, said mechanism comprising a first displacement shoe and a second displacement shoe, respectively for displacing a first door and a second door, at least one of said displacement shoes (10,20) comprising: - a main carriage comprising a frame provided with a pair of longitudinal sides (13A,13B), and comprising a plurality of wheels (31,31 A,32,32A,33,33A) that enable its displacement in a longitudinal direction defined by a first and a second guide mutually parallel and connectable to a connection surface of said piece of furniture, said main carriage comprising a first (11 A) and a second axle (11 B) extending between said longitudinal sides (13A,13B) in a transversal direction; - an attachment bracket connected to one of said doors (201,202) and operatively connected to said main carriage by means of a first slider and a second slider slidable respectively along said first (11 A) and said second axle (11 B), said sliders (51,52) enabling a translation and a rotation of said attachment bracket with respect to said main carriage; - guide means (9,81,82) operatively connected to said attachment bracket so as to induce said translation and said rotation during the displacement of said main carriage along said longitudinal guides (5A,5B), wherein said first and said second slider comprise a first portion (51A,52A) and a second portion (51B,52B), said sliders (51,52) comprising a first swivel bush contained in said first portion (51A,52A) and a second swivel bush contained in said second portion (51 B,52B), said swivel bushes (91,92) of said first slider being slidable along said first axle (11 A) and enabling a rotation of said first slider with respect to said first axle (11 A), said swivel bushes (91,92) of said second slider being slidable along said second axle (11 B) and enabling a rotation of said second slider with respect to said second axle (11 B). - a main carriage comprising a frame provided with a pair of longitudinal sides (13A,13B), and comprising a plurality of wheels (31,31 A,32,32A,33,33A) that enable its displacement in a longitudinal direction defined by a first and a second guide mutually parallel and connectable to a connection surface of said piece of furniture, said main carriage comprising a first (11 A) and a second axle (11 B) extending between said longitudinal sides (13A,13B) in a transversal direction; - an attachment bracket connected to one of said doors (201,202) and operatively connected to said main carriage by means of a first slider and a second slider slidable respectively along said first (11 A) and said second axle (11 B), said sliders (51,52) enabling a translation and a rotation of said attachment bracket with respect to said main carriage; - guide means (9,81,82) operatively connected to said attachment bracket so as to induce said translation and said rotation during the displacement of said main carriage along said longitudinal guides (5A,5B), wherein said first and said second slider comprise a first portion (51A,52A) and a second portion (51B,52B), said sliders (51,52) comprising a first swivel bush contained in said first portion (51A,52A) and a second swivel bush contained in said second portion (51 B,52B), said swivel bushes (91,92) of said first slider being slidable along said first axle (11 A) and enabling a rotation of said first slider with respect to said first axle (11 A), said swivel bushes (91,92) of said second slider being slidable along said second axle (11 B) and enabling a rotation of said second slider with respect to said second axle (11 B).