The invention relates to a polyester film comprising, on at least one of the faces thereof, a scratch-resistant crosslinked coating. The objective of the invention is to provide a polyester film coated with an abrasion-resistant layer which adheres perfectly to the polyester substrate, and is simple and economical to manufacture. To achieve this objective, the crosslinked hard coating applied to the polyester film comprises: i. 20% to 99% by weight of at least one ester and/or one amide of (meth)acrylic acid comprising a substituted protic group; ii. 20% to 99% by weight of acrylic resin(s); iii. 1% to 40% of a polyalkylene diacrylate; iv. 0 to 50% of at least one derivative of the benzophenone family; v. 0 to 5% of at least one photoinitiator. The invention also relates to the method for obtaining this polyester film coated with an abrasion-resistant hard layer. Use in the production of polyester/metal sheet (steel) colaminate.