To lessen the occurrence frequency of overflow of paper sheets out of a fully fitted collection box even in the case of a small type paper sheet sectioning apparatus and improve the sectioning treatment efficiency of paper sheets.

Sensors for detecting that paper sheets are accumulated fully in each accumulation box are installed in each of accumulation boxes 6a-6l and corresponding to the number of the fully filled accumulation boxes 6a-6l and the generation state of the paper sheets to be sectioned in the fully filled accumulation boxes, the transportation speed of the paper sheets transported in a transportation route 4 is decreased so as to make a worker possible to take the already sectioned paper sheets out of the accumulation boxes 6a-6l before paper sheets overflow and when the overflowing state is avoided, the transportation speed is increased to increase the sectioning efficiency. The reference numeral 5 denotes a scanner for reading the address, the reference numeral 10 denotes a thickness detection section for detecting the thickness of the paper sheets, the reference numerals 7a, 7b, 8a-8l denote gates, and the reference numerals 9a-9c denote overflowing accumulation boxes.