Sheet-processing foil stamping machine having: a main frame, a stamping unit which is supported by the main frame and which comprises a form bed that is movable in a linear reciprocating manner, and a stamping cylinder that has a horizontal rotation axis and is disposed above the form bed, and a foil unit having control installations for transporting at least one stamping foil web through a stamping gap that during a stamping interval has been formed between the form bed and the stamping cylinder, characterized in that the stamping cylinder is configured as a cylinder having a first gripper strip and a second gripper strip which is circumferentially offset in relation to the first gripper strip, wherein a cylindrically curved shell portion (144-1, 144-2) exists behind each of the gripper strips (142-1, 142-2), said shell portion in the circumferential direction being elongated such that a complete sheet that is held by the leading gripper strip (142-1, 142-2) fits onto said shell portion, wherein a first shell portion adjoining the first gripper strip acts as a printing portion by way of which the stamping cylinder during the stamping interval can engage with the form bed, and the second shell portion adjoining the second gripper strip has a smaller radial spacing to the rotation axis of the stamping cylinder than the first shell portion and is utilizable as a transport portion; the stamping cylinder is assigned an accumulator drum which is provided with a dedicated gripper strip for acquiring and transferring print material sheets (B1, B2, B3) between stamping cylinder and accumulator drum, wherein the accumulator drum is configured for temporarily storing clean sheets between feed and stamping procedure, wherein the diameter of the accumulator drum is dimensioned such that one sheet fits onto the cylindrical shell face of the accumulator drum outside the clearance for the gripper strip; and a height adjustment installation having an actuator for adjusting the height of the form bed in relation to the main frame is provided. a main frame, a stamping unit which is supported by the main frame and which comprises a form bed that is movable in a linear reciprocating manner, and a stamping cylinder that has a horizontal rotation axis and is disposed above the form bed, and a foil unit having control installations for transporting at least one stamping foil web through a stamping gap that during a stamping interval has been formed between the form bed and the stamping cylinder, characterized in that the stamping cylinder is configured as a cylinder having a first gripper strip and a second gripper strip which is circumferentially offset in relation to the first gripper strip, wherein a cylindrically curved shell portion (144-1, 144-2) exists behind each of the gripper strips (142-1, 142-2), said shell portion in the circumferential direction being elongated such that a complete sheet that is held by the leading gripper strip (142-1, 142-2) fits onto said shell portion, wherein a first shell portion adjoining the first gripper strip acts as a printing portion by way of which the stamping cylinder during the stamping interval can engage with the form bed, and the second shell portion adjoining the second gripper strip has a smaller radial spacing to the rotation axis of the stamping cylinder than the first shell portion and is utilizable as a transport portion; the stamping cylinder is assigned an accumulator drum which is provided with a dedicated gripper strip for acquiring and transferring print material sheets (B1, B2, B3) between stamping cylinder and accumulator drum, wherein the accumulator drum is configured for temporarily storing clean sheets between feed and stamping procedure, wherein the diameter of the accumulator drum is dimensioned such that one sheet fits onto the cylindrical shell face of the accumulator drum outside the clearance for the gripper strip; and a height adjustment installation having an actuator for adjusting the height of the form bed in relation to the main frame is provided.