Headrest of a vehicle seat, said headrest comprising: • a framework for mounting on a backrest of said seat, • a padding block associated with the top of said framework, said block substantially fitting within a wrapping folded according to a median transverse axis so as to have: o two lateral faces having the general shape of a flattened V reversed by a quarter turn, whose tip is directed forwards, said faces defining an upper underside corresponding to the upper branch of the V and a lower underside corresponding to the lower branch of the V, o a front face substantially fitting within an upper front plane and a lower front plane intersecting according to a front axis parallel to said median axis, o a rear face substantially fitting within an upper rear plane and a lower rear plane intersecting according to a rear axis parallel to said median axis, o an upper face, o a lower face, said faces being connected to each other by junction areas, • a cover for covering said block, said cover being formed by a plurality of formats made of a covering material associated together edge-to-edge so as to define a pocket for housing said block, said headrest being characterised in that said cover comprises: • a front format made in one-piece overlaying: o said front face, o said upper face, o and a portion of said lower undersides, • a rear format made in one-piece overlaying: o said rear face, o said upper undersides, o and a portion of said lower undersides, the connection between said front and rear formats on each of said lower sub-faces being done according to a junction line crossing each of said lower undersides extending substantially from said front axis to the corresponding lower corner of said rear face. • a framework for mounting on a backrest of said seat, • a padding block associated with the top of said framework, said block substantially fitting within a wrapping folded according to a median transverse axis so as to have: o two lateral faces having the general shape of a flattened V reversed by a quarter turn, whose tip is directed forwards, said faces defining an upper underside corresponding to the upper branch of the V and a lower underside corresponding to the lower branch of the V, o a front face substantially fitting within an upper front plane and a lower front plane intersecting according to a front axis parallel to said median axis, o a rear face substantially fitting within an upper rear plane and a lower rear plane intersecting according to a rear axis parallel to said median axis, o an upper face, o a lower face, o two lateral faces having the general shape of a flattened V reversed by a quarter turn, whose tip is directed forwards, said faces defining an upper underside corresponding to the upper branch of the V and a lower underside corresponding to the lower branch of the V, o a front face substantially fitting within an upper front plane and a lower front plane intersecting according to a front axis parallel to said median axis, o a rear face substantially fitting within an upper rear plane and a lower rear plane intersecting according to a rear axis parallel to said median axis, o an upper face, o a lower face, said faces being connected to each other by junction areas, • a cover for covering said block, said cover being formed by a plurality of formats made of a covering material associated together edge-to-edge so as to define a pocket for housing said block, • a cover for covering said block, said cover being formed by a plurality of formats made of a covering material associated together edge-to-edge so as to define a pocket for housing said block, said headrest being characterised in that said cover comprises: • a front format made in one-piece overlaying: o said front face, o said upper face, o and a portion of said lower undersides, • a rear format made in one-piece overlaying: o said rear face, o said upper undersides, o and a portion of said lower undersides, • a front format made in one-piece overlaying: o said front face, o said upper face, o and a portion of said lower undersides, o said front face, o said upper face, o and a portion of said lower undersides, • a rear format made in one-piece overlaying: o said rear face, o said upper undersides, o and a portion of said lower undersides, o said rear face, o said upper undersides, o and a portion of said lower undersides, the connection between said front and rear formats on each of said lower sub-faces being done according to a junction line crossing each of said lower undersides extending substantially from said front axis to the corresponding lower corner of said rear face.