A conveyor for transporting pieces in a production line, comprising: - a carousel rotatable about a vertical axis of rotation (X) and defining a closed feed path (C) for said pieces; - a station (A) for feeding raw parts to a processing machine (M) set up along said closed feed path (C); - a station (R) for collecting pieces processed by said processing machine (M) set up along the closed feed path (C); - a plurality of units angularly distributed on said carousel and configured for each receiving a stack of raw pieces or a stack of processed pieces, preferably said pieces being circular or parallelepiped-shaped, characterized in that each of said units extending along an axis of extension (Y) inclined away from and/or towards said axis of rotation (X) and comprising: - a base plate configured to support the bottom of a stack of pieces, said base plate being movable along said axis of extension (Y) between a position distal from said carousel , in such a way as to release said raw pieces in said feed station (A), and a proximal position relative to said carousel for receiving said pieces processed in said collecting station (R), preferably said base plate being movable up and down by an amount equal to a thickness of the pieces forming the stack; - a pair of supporting elements extending along said axis of extension (Y) to define a movement guide for said base plate , said supporting elements delimiting with the respective base plate a seat for containing a piece or a stack and acting in conjunction with said base plate to perform a self-centring of the piece or stack of pieces. - a carousel rotatable about a vertical axis of rotation (X) and defining a closed feed path (C) for said pieces; - a station (A) for feeding raw parts to a processing machine (M) set up along said closed feed path (C); - a station (R) for collecting pieces processed by said processing machine (M) set up along the closed feed path (C); - a plurality of units angularly distributed on said carousel and configured for each receiving a stack of raw pieces or a stack of processed pieces, preferably said pieces being circular or parallelepiped-shaped, characterized in that each of said units extending along an axis of extension (Y) inclined away from and/or towards said axis of rotation (X) and comprising: - a base plate configured to support the bottom of a stack of pieces, said base plate being movable along said axis of extension (Y) between a position distal from said carousel , in such a way as to release said raw pieces in said feed station (A), and a proximal position relative to said carousel for receiving said pieces processed in said collecting station (R), preferably said base plate being movable up and down by an amount equal to a thickness of the pieces forming the stack; - a pair of supporting elements extending along said axis of extension (Y) to define a movement guide for said base plate , said supporting elements delimiting with the respective base plate a seat for containing a piece or a stack and acting in conjunction with said base plate to perform a self-centring of the piece or stack of pieces. - a base plate configured to support the bottom of a stack of pieces, said base plate being movable along said axis of extension (Y) between a position distal from said carousel , in such a way as to release said raw pieces in said feed station (A), and a proximal position relative to said carousel for receiving said pieces processed in said collecting station (R), preferably said base plate being movable up and down by an amount equal to a thickness of the pieces forming the stack; - a pair of supporting elements extending along said axis of extension (Y) to define a movement guide for said base plate , said supporting elements delimiting with the respective base plate a seat for containing a piece or a stack and acting in conjunction with said base plate to perform a self-centring of the piece or stack of pieces. <EOS>