Agricultural machine for removing parasitic ears which protrude vertically from a plant species cultivated on a cultivation surface, comprising: - a framework and members for displacing the framework in a direction of advancement and in a main advancing direction, referred to as the longitudinal direction, said displacement members having regions in contact with the cultivation surface, - cutting tools which extend in a direction perpendicular to the longitudinal direction, referred to as the transverse direction, and which are mounted on a frame that is adjustable in height relative to said framework so as to be able to position the cutting tools at the level of the parasitic ears to be cut, - a bucket for collecting the ears cut by said cutting tools, said collection bucket being connected to said framework, - means for conveying (16, 18) the cut ears, which means are carried by said height-adjustable frame and extend between the cutting tools and said bucket for collecting the cut ears, said conveying means comprising: ∘ conveyor belts which extend in the transverse direction, behind the cutting tools in the direction of advancement of the machine, ∘ a filling belt which extends in the longitudinal direction between the conveyor belts and said collection bucket and forms an axis of symmetry of said machine, ∘ motors for rotating said conveyor belts and said filling belt, - said height-adjustable frame being mounted on an articulation that is designed to be able to fold said frame on either side of said axis of symmetry formed by said filling belt, in the longitudinal direction, so as to be able to limit the transverse bulk of the machine when traveling on roads open to traffic, and said cutting tools being double-blade saws driven in a transverse reciprocating movement by hydraulic motors. - a framework and members for displacing the framework in a direction of advancement and in a main advancing direction, referred to as the longitudinal direction, said displacement members having regions in contact with the cultivation surface, - cutting tools which extend in a direction perpendicular to the longitudinal direction, referred to as the transverse direction, and which are mounted on a frame that is adjustable in height relative to said framework so as to be able to position the cutting tools at the level of the parasitic ears to be cut, - a bucket for collecting the ears cut by said cutting tools, said collection bucket being connected to said framework, - means for conveying (16, 18) the cut ears, which means are carried by said height-adjustable frame and extend between the cutting tools and said bucket for collecting the cut ears, said conveying means comprising: ∘ conveyor belts which extend in the transverse direction, behind the cutting tools in the direction of advancement of the machine, ∘ a filling belt which extends in the longitudinal direction between the conveyor belts and said collection bucket and forms an axis of symmetry of said machine, ∘ motors for rotating said conveyor belts and said filling belt, ∘ conveyor belts which extend in the transverse direction, behind the cutting tools in the direction of advancement of the machine, ∘ a filling belt which extends in the longitudinal direction between the conveyor belts and said collection bucket and forms an axis of symmetry of said machine, ∘ motors for rotating said conveyor belts and said filling belt, - said height-adjustable frame being mounted on an articulation that is designed to be able to fold said frame on either side of said axis of symmetry formed by said filling belt, in the longitudinal direction, so as to be able to limit the transverse bulk of the machine when traveling on roads open to traffic, and said cutting tools being double-blade saws driven in a transverse reciprocating movement by hydraulic motors.