A folding assembly of a continuous sheet of packaging material applicable to automatic packaging machines comprising a sliding plane for conveying a continuous sheet of packaging material along a conveying direction, said sliding plane comprising an entrance end for entering said continuous sheet of packaging material and two opposite sides parallel to said conveying direction, and a feeding assembly for feeding said continuous sheet of packaging material along a feeding plane which is orthogonal or substantially orthogonal to said conveying direction and defined at said entrance end of said sliding plane, wherein said continuous sheet of packaging material is fed along said feeding plane according to a feeding direction orthogonal or substantially orthogonal to said sliding plane and is deviated of a right or a substantially right angle while passing from said feeding plane to said sliding plane, wherein said folding assembly comprises, for at least one of the opposite sides of said sliding plane, a respective block which is associable with said at least one opposite side of said sliding plane at said entrance end and which is provided with a rectilinear edge which, considering said folding assembly in the mounting configuration on said packaging machine, faces said feeding plane and is substantially parallel to said feeding direction so as to define a longitudinal creasing element of said continuous sheet of packaging material for folding a corresponding longitudinal flap thereof and wherein said folding assembly comprises a body provided with a cone-sector surface which is associated with said block with the vertex of said cone-sector surface arranged at the outlet end of said rectilinear edge at which said continuous sheet of packaging material provided with said longitudinal creasing exits and which cone-sector surface, considering said folding assembly in the mounting configuration on said packaging machine, has a conicity converging towards said entrance end of said sliding plane, wherein, considering said folding assembly in the mounting configuration on said packaging machine, said cone-sector surface supports said longitudinal flap during said longitudinal creasing and accompanies it during the folding along said longitudinal creasing.