The invention relates to a machine for harvesting agave and obtaining the core of the plant. The machine comprises a chassis defining a platform having: a rear end comprising a structural frame supporting arms that project rearwards, wheel rims that rest on the ground being secured to said arms a front end comprising 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 of the tractor and is secured in the upper part of the structural frame. The machine is characterised in that it comprises a supporting base which can slide under the action of hydraulic elements and is mounted on a pair of rails arranged transversely on the platform. The supporting base is adapted to receive at least one vertical post with height-adjustment means, said post having a transverse arm secured at the upper end thereof. A head is secured at the end of the transverse arm, said head being equipped with rotatin g vertical cutting blades projecting downwards. According to the invention, the head also comprises: a drive motor for rotating a shaft on which the rotating vertical cutting blades are mounted, as well as a mechanism for adjusting the distance between the rotating vertical cutting blades according to the size (height and diameter) of the agave plants.La presente invención se refiere a una máquina para jimar y cosechar agave, del tipo que consta de un chasis que define una plataforma que posteriormente comprende un marco estructural como medio de soporte de brazos proyectados posteriormente en los que se fijan llantas de apoyo al piso y comprendiendo en el extremo frontal un marco estructural con brazos proyectados frontalmente en los que se sujeta una barra de tiro que se fija en un tractor y un brazo que se conecta en la toma de potencia del tractor se fija en la parte alta de dicho marco estructural caracterizada porque comprende una base de soporte deslizable por acción de elementos
