A method for producing stacks of printed sheets, including supplying the printed sheets along a conveyor, stacking the printed sheets along the stack support in an upright position, supporting the first stack via a supporting device, transferring the first stack from the supporting device to a compression device having first and second compression carriages, compressing the first stack between the first and second compression carriages, strapping the first stack, releasing and moving the first compression carriage towards a second stack subsequently formed, and transferring support for the second stack from the supporting device to the first compression carriage.