A curve-shaped display module, a manufacture method thereof, and a manufacture apparatus for manufacturing the same are provided. The manufacture apparatus includes a curve-forming mold, a curable material-dispensing device, and a curing device. The manufacture method includes the following steps: pressing the display panel to make the display panel have a curved shape and a first curved surface by using the curve-forming mold; distributing a curable material on the first curved surface by using the dispensing device; and curing the curable material to form a cured casing by using the curing device. The display module has the display panel having the first curved surface and the cured casing formed from the curing of the curable material. The cured casing covers and is closely attached to the first curved surface with an adhesion force therebetween to sustain the curved shape of the display panel.