Abstract: Polyphenylene sulphide-based compositions essentially containing 60 to 99.5% by weight of polyphenylene sulphide and 0.5 to 40% by weight of a combination (C) containing a compound (C1) chosen from olefinic elastomers containing epoxy groups and a compound (C2) chosen from crosslinking agents containing functional groups which are reactive towards the epoxy groups of the compound (C1) and are chosen from amino, hydroxyl, carboxyl and carboxylic acid anhydride groups. They are obtained by melt-blending polyphenylene sulphide with each of the compounds (C1) and (C2) of the combination (C) successively and in any order.