A machine for grouping and packing tubes for cigarettes, cigarettes, filters, filter rods or similar, which comprises a tube feeding zone, a tube stacking zone and a zone for packing tubes into boxes, wherein the tube stacking zone comprises: - a plurality of vertical channels for stacking the tubes in a substantially horizontal arrangement; - retention means for retaining the tubes to control their introduction in the vertical channels; characterized in that the tube stacking zone further comprises: - a first transfer platform that makes a first vertical transfer movement to control the height of the tube stack and accompany the tube stack in its descent through the vertical channels, and a second horizontal transfer movement for withdrawing and unblocking the vertical channels, enabling the withdrawal of the tube stack; - a second transfer platform having a vertical transfer movement for transferring the tube stack from the outlet of the vertical channels to the lower portion of the tube stacking zone; and - transfer means for transferring the tube stack from the second transfer platform until disposing it over a sheet die cut into a box shape in the tube packing zone; and in that the zone in which the tubes are packed into boxes comprises: - a hold-down mechanism for folding the sheet die cut into a box shape and forming a packing box over the tube stack. - a plurality of vertical channels for stacking the tubes in a substantially horizontal arrangement; - retention means for retaining the tubes to control their introduction in the vertical channels; characterized in that the tube stacking zone further comprises: - a first transfer platform that makes a first vertical transfer movement to control the height of the tube stack and accompany the tube stack in its descent through the vertical channels, and a second horizontal transfer movement for withdrawing and unblocking the vertical channels, enabling the withdrawal of the tube stack; - a second transfer platform having a vertical transfer movement for transferring the tube stack from the outlet of the vertical channels to the lower portion of the tube stacking zone; and - transfer means for transferring the tube stack from the second transfer platform until disposing it over a sheet die cut into a box shape in the tube packing zone; and in that the zone in which the tubes are packed into boxes comprises: - a hold-down mechanism for folding the sheet die cut into a box shape and forming a packing box over the tube stack. - a first transfer platform that makes a first vertical transfer movement to control the height of the tube stack and accompany the tube stack in its descent through the vertical channels, and a second horizontal transfer movement for withdrawing and unblocking the vertical channels, enabling the withdrawal of the tube stack; - a second transfer platform having a vertical transfer movement for transferring the tube stack from the outlet of the vertical channels to the lower portion of the tube stacking zone; and - transfer means for transferring the tube stack from the second transfer platform until disposing it over a sheet die cut into a box shape in the tube packing zone; - a hold-down mechanism for folding the sheet die cut into a box shape and forming a packing box over the tube stack.