PROBLEM TO BE SOLVED: To provide a sash roller that extremely facilitates attachment of a top-railed sliding door, and structure for connecting the sash roller and the top-railed sliding door together, which eliminates the risk that a frame body of the top-railed sliding door may be deformed by self-weight of the top-railed sliding door.SOLUTION: A sash roller comprises a rolling wheel that can be rollably engaged with an almost horizontally disposed rail body, and a plate portion that has an upper portion provided with a supporting portion for rotatably supporting the rolling wheel and that has a lower portion provided with a connecting portion for being connected to a frame body of a top-railed sliding door. The connecting portion provided in the plate portion comprises a positioning hole for inserting a shaft-like fastening material for connecting jambs, a head and a sill, which constitute the frame body, and a fastening material inserting hole for inserting the shaft-like fastening material for fixedly connecting a sash roller connection to the jambs, which is juxtaposed with the positioning hole.
