The invention provides a curved-surface attaching mold and an attaching method thereof. The curved-surface attaching mold comprises a first jig for holding a glass cover plate, a second jig for holding a touch membrane and a mold body. The mold body comprises a lower plate, a middle plate and an upper plate which are sequentially overlapped. Guiding bearing assemblies are arranged on the four corners of the lower plate, the four corners of the middle plate and the four corners of the upper plate correspondingly. The mold body further comprises a silica gel mold, a silica gel frame and silica gel supporting plates, and an attaching curved surface is arranged on the side, extending out of the silica gel frame, of the silica gel mold; and the second jig is positioned on the mold body through the guiding bearing assemblies and used for pasting the touch membrane to the attaching curved surface, and the first jig is positioned on the mold body through the guiding bearing assemblies and used for attaching the glass cover plate to the touch membrane. The curved-surface attaching mold is high in attaching precision, the defects of attaching wrinkles, indentations, press damage, water ripples, bubbles and the like are avoided, and the production yield and efficiency are improved.