The invention relates to a composition comprising: (A) an amorphous or quasi-amorphous copolymer containing polyamide blocks and containing polyether blocks, the polyamide blocks comprising cycloaliphatic units; (B) a semicrystalline polymer or copolymer comprising amide units; (C) another polymer or copolymer comprising amide units; and (D) a multilayer polymer comprising at least a layer (D1) and a layer (D2). This composition has advantageous properties of transparency and impact strength, especially for the manufacture of sports articles.