The present invention relates to a poly(lactic acid) composition with improved impact resistance, comprising, by weight: 60% to 97% of poly(lactic acid) (PLA) and 3% to 40% of a mixture of compounds A and B in which A is a copolymer of ethylene and of an unsaturated monomer bearing at least one epoxide or carboxylic acid or carboxylic acid anhydride functional group, and optionally of alkyl (meth)acrylate, and B is a copolymer of ethylene and of alkyl (meth)acrylate, wherein said mixture has a wt% (A)/wt% (A+B) ratio of between 0.10 and 0.49. The present invention also relates to the manufacture of parts or objects using these compositions.