Abstract: A machine for cutting the tips of the leaves off agave plants to prepare the plants for the subsequent removal of the core. The machine includes a chassis defining a platform having: a rear end having a structural frame supporting arms that project rearwards, wheel rims that rest on the ground being secured to said arms; a front end having a structural frame having arms extending frontwards, a tractor-coupled drawbar being secured to said arms; and an arm that connects to the power take-off and is secured in the upper part of the structural frame. The machine includes a supporting base which can slide under the action of hydraulic elements, and is mounted on a pair of parallel rails and is arranged transversely across the platform. Additionally, the machine includes a hydraulic system with control inputs, actuated by the operator.