The invention belongs to the technical field of aerospace, and particularly relates to a foldable parallel mechanism and application thereof. Existing machining equipment is long in period, low in production efficiency, poor in precision and incapable of meeting the machining technical requirement. The invention provides a foldable parallel mechanism which comprises a base, wherein the base is connected with one end of a shear fork type stretching branch chain, the other end of the shear fork type stretching branch chain is connected with a movable platform, and the shear fork type stretching branch chain is connected with a driving motor assembly; the shear fork type stretching branch chain comprises a branch chain driving assembly, the branch chain driving assembly is connected with one end of a main connecting rod, the main connecting rod is connected with one end of a main supporting rod, the other end of the main supporting rod is connected with the base, the branch chain driving assembly is connected with the base, and the other end of the main connecting rod is connected with one end of a shear fork branch structure; one end of the shear fork branch structure is connected with the main supporting rod, and the other end of the shear fork branch structure is connected with the movable platform. And different stretching rigidity requirements can be met.