A cartridge for medical and hospital waste that defines a tubular body of a cylindrical or prismatic configuration, provided with a base and divided on the inside by multiple partitions that define several chambers or holes throughout the cartridge for depositing or inserting waste material, wherein it comprises: - a flexible sheet that defines the tubular body and the base of the cartridge, which folds flat at the middle of the base and by folding lines of the tubular body, forming a stored flat body, said sheet comprising: ∘ side surfaces that, when unfolded or separated, hollowing out the inner space, define the walls of the tubular body of the cartridge; ∘ semi-bases (3a, 3b) configured according to the perimeter of the formed tubular body, joined to the side surfaces, which will give shape to the cartridge by means of flaps (31a, 31b) located in the central area of the cartridge in a folded position; ∘ two superimposed flaps (4a, 4b) that join the two semi-bases (3a, 3b) at the middle zone of the base and which, in the unfolded position, form a diametral partition aligned with the folding lines of the body of the cartridge and tucked below the base, preventing the bottom of the cartridge from being deformed or crushed once it is in a position of use; ∘ several tabs that radially emerge from the two semi-bases (3a, 3b) and are joined to them by folding lines, which in the formation of the cartridge fold and are positioned on the perimeter and towards the outside, providing a support for the base along with the partition; - a lattice of cardboard sheets that is situated folded inside the tubular body, such that when the cartridge is unfolded it is opened to occupy the entire inner surface of the same. - a flexible sheet that defines the tubular body and the base of the cartridge, which folds flat at the middle of the base and by folding lines of the tubular body, forming a stored flat body, said sheet comprising: ∘ side surfaces that, when unfolded or separated, hollowing out the inner space, define the walls of the tubular body of the cartridge; ∘ semi-bases (3a, 3b) configured according to the perimeter of the formed tubular body, joined to the side surfaces, which will give shape to the cartridge by means of flaps (31a, 31b) located in the central area of the cartridge in a folded position; ∘ two superimposed flaps (4a, 4b) that join the two semi-bases (3a, 3b) at the middle zone of the base and which, in the unfolded position, form a diametral partition aligned with the folding lines of the body of the cartridge and tucked below the base, preventing the bottom of the cartridge from being deformed or crushed once it is in a position of use; ∘ several tabs that radially emerge from the two semi-bases (3a, 3b) and are joined to them by folding lines, which in the formation of the cartridge fold and are positioned on the perimeter and towards the outside, providing a support for the base along with the partition; ∘ side surfaces that, when unfolded or separated, hollowing out the inner space, define the walls of the tubular body of the cartridge; ∘ semi-bases (3a, 3b) configured according to the perimeter of the formed tubular body, joined to the side surfaces, which will give shape to the cartridge by means of flaps (31a, 31b) located in the central area of the cartridge in a folded position; ∘ two superimposed flaps (4a, 4b) that join the two semi-bases (3a, 3b) at the middle zone of the base and which, in the unfolded position, form a diametral partition aligned with the folding lines of the body of the cartridge and tucked below the base, preventing the bottom of the cartridge from being deformed or crushed once it is in a position of use; ∘ several tabs that radially emerge from the two semi-bases (3a, 3b) and are joined to them by folding lines, which in the formation of the cartridge fold and are positioned on the perimeter and towards the outside, providing a support for the base along with the partition; - a lattice of cardboard sheets that is situated folded inside the tubular body, such that when the cartridge is unfolded it is opened to occupy the entire inner surface of the same.