To surely keep high strength even if a sheet sleeve by joining a metal thin sheet, corrugating and broadening it.

A flat sheet sleeve 3 is formed by arranging plural numbers of metal thin sheet 1..., butting mutual end parts, lapping them in two layers, sticking with lapping soft band sheet 2... on each seam including both end parts respectively, and joining the total thin sheet 1... endlessly. Next, the flat sheet sleeve 3 is formed with corrugating, each joint part 6... is bent and broadened, the corrugate phase of each joining part 6... is regulated selectively so that each bending part 7... has a prescribed phase and the distance w between bending parts is made in a prescribed length, and a cylinder like corrugate sleeve 5 is manufactured.