A machine for harvesting maize includes a supporting structure carrying a plurality of harvesting units set alongside one another in a transverse direction. Each harvesting unit includes a framework fixed with respect to the supporting structure and includes two box sections set at a distance from one another in a transverse direction by an empty space elongated in a longitudinal direction and two stripper plates carried by respective box sections. The stripper plate has respective edges facing one another that extend on opposite sides in the empty space, and the facing edges of the stripper plates form a squeezing channel. A pair of counter-rotating traction rollers are arranged underneath the squeezing channel. The stripper plates are mobile in a vertical direction with respect to the respective box sections and are associated to respective spring devices that push the stripper plates elastically towards a raised position.