Provided is Mg-based alloy wrought material having improved ductility, formality, and resistance against fracture. Intermetallic compounds may be formed by mutual bonding of added elements to be a fracture origin. While maintaining microstructure for activating non-basal dislocation movement of Mg-based alloy wrought material, added elements to create no fracture origin, but to promote grain boundary sliding were found from among inexpensive and versatile elements. Provided is Mg-based alloy wrought material including at least one element from Zr, Bi, and Sn and at least one element from Al, Zn, Ca, Li, Y, and Gd wherein remainder comprises Mg and unavoidable impurities; an average grain size in a parent phase is 20 μm or smaller; a value of (σmax−σbk)/σmax (maximum load stress (σmax), breaking stress (σbk)) in a stress-strain curve obtained by tension-compression tests of the wrought material is 0.2 or higher; and resistance against breakage shows 100 kJ or higher.