The present disclosure relates to a hair styling compositions that exhibit non-Newtonian shear thickening behavior. The hair styling composition include: (a) about 0.1 to about 7 wt. % of AMP-acrylates/allyl methacrylate copolymer, based on the total weight of the hair styling composition; (b) one or more nonionic film-forming polymers; (c) one or more polysaccharides; (d) one or more nonionic surfactants; and (e) water. Additional components such as, for example, water-soluble solvents, fatty compounds, amphoteric film-forming polymers, volatile or non-volatile silicones, thickeners (ionic or non-ionic), etc., may also optionally be included. The hair styling compositions are particularly useful for styling or shaping hair and for providing hold, discipline, and texture to hair.