To provide a paper sheet convey and a paper sheet sorter capable of reducing a labor of the maintenance thereof and increasing the operation rates thereof.

A gap correction device 20 comprises a feed belt 21 specifying a feed route 4 and a pair of correction rollers 24 and 26 installed midway in the feed route 4. Rubbers 25 and 27 for providing a sufficient frictional force between paper sheets are wound on the outer peripheries of the correction rollers 24 and 26. When the rubbers 25 and 27 are worn with the elapse of time, the device judges whether a correction function is lowered from a specified level or not by comparing the feed gap of the paper sheet on the upstream from the gap correction part 10 with the feed gap of the paper sheet on the downstream. When the correction function is lowered, a movable roller 26 is initialized and a pressing force between the correction rollers 24 and 26 is adjusted.