A beverage capsule machine for making single use capsules (1, 1') for extract or infusion beverages such as coffee or tea, comprising a rigid, cup-shaped container having a bottom and an upper aperture provided with a rim, a dose of extract or infusion product contained inside the rigid container and a length of sheet for closing the upper aperture of the rigid container, the machine comprising: a transport element for transporting rigid containers and being closed in a loop around movement means for moving the transport element; the transport element being configured to define a plurality of pockets for receiving the rigid containers and which are positioned one after the other, in succession, each having a respective vertical axis; a plurality of stations which are positioned along a path followed by the transport element and which are configured for operating in phase with the same transport element and comprising: a feed station for feeding the rigid containers into respective pockets of the transport element; a dosing station for dosing the product into the rigid container; a closing station where the upper aperture of the rigid container is closed with the length of sheet; an outfeed station which withdraws the capsules (1, 1') from the transport element; the outfeed station comprising: - a first wheel equipped with at least one contact head for contacting and picking a capsule from a respective pocket of the transport element and placing the capsule on a receiving table; and with movement means for moving the at least one contact head from an advanced position to contact and pick the capsule from the respective pocket of the transport element and to place the capsule on the receiving table, to a withdrawn position when the contact head is in transit; the first wheel being configured to rotate the at least one contact head and the movement means in phase and to carry the at least one contact head from the pocket of the transport element to the receiving table along a first stretch (P24A) of path, and from the receiving table to the transport element along a second stretch (P24R) of path; - a second wheel equipped with at least one further contact head to contact and pick a further capsule from a respective pocket of the transport element and place the further capsule on the receiving table; and with further movement means for moving the at least one further contact head from an advanced position to contact and pick the further capsule from the respective pocket of the transport element and to place the further capsule on the receiving table, to a withdrawn position when the further contact head is in transit; the second wheel being configured to rotate the at least one further contact head and the further movement means in phase and to carry the at least one further contact head from the pocket of the transport element to the receiving table along a further first stretch (P24A') of path, and from the receiving table to the transport element along a further second stretch (P24R') of path; the first wheel and the second wheel being equipped with respective power driven shafts (25, 26) which are in phase with each other and which rotate in the same direction of rotation (R25, R26) to allow the at least one contact head and the at least one further contact head to place capsules and further capsules on the receiving table, respectively, the further capsules being alternated, juxtaposed and oriented in the opposite direction relative to the capsules on the receiving table. - a first wheel equipped with at least one contact head for contacting and picking a capsule from a respective pocket of the transport element and placing the capsule on a receiving table; and with movement means for moving the at least one contact head from an advanced position to contact and pick the capsule from the respective pocket of the transport element and to place the capsule on the receiving table, to a withdrawn position when the contact head is in transit; the first wheel being configured to rotate the at least one contact head and the movement means in phase and to carry the at least one contact head from the pocket of the transport element to the receiving table along a first stretch (P24A) of path, and from the receiving table to the transport element along a second stretch (P24R) of path; - a second wheel equipped with at least one further contact head to contact and pick a further capsule from a respective pocket of the transport element and place the further capsule on the receiving table; and with further movement means for moving the at least one further contact head from an advanced position to contact and pick the further capsule from the respective pocket of the transport element and to place the further capsule on the receiving table, to a withdrawn position when the further contact head is in transit; the second wheel being configured to rotate the at least one further contact head and the further movement means in phase and to carry the at least one further contact head from the pocket of the transport element to the receiving table along a further first stretch (P24A') of path, and from the receiving table to the transport element along a further second stretch (P24R') of path;