The invention discloses a manufacturing method of a sleeve device capable of measuring out rock hole tangential strain. The manufacturing method comprises the steps that 1, a sleeve upper cover, a sleeve lower cover and a shaft core are machined; 2, according to the assembled size of the sleeve upper cover, the sleeve lower cove and the shaft core, a silica gel sleeve is cut out; 3, a flexible strain gauge is bonded to the inner wall in the middle of the silica gel sleeve, a wire of the flexible strain gauge penetrates through a hollow bolt, and the hollow bolt is encapsulated with epoxy resin; 4, the sleeve upper cover and the upper end of the shaft core are assembled through thread fit, the juncture is filled with polyurethane, and sleeve is formed; 5, the shaft core is sleeved with thesilica gel sleeve from the lower end, the screw rod end of the hollow bolt penetrates out of a wire hole and then is locked by a nut, and the sleeve lower cover and the lower end of the shaft core areassembled through thread fit; and 6, the two ends of the silica gel sleeve are sealed to the sleeve upper cover and the sleeve lower cover, and therefore an oil cavity is defined by the sleeve uppercover, the sleeve lower cover, the shaft core and the silica gel sleeve.