The present invention provides a hair straightening composition with improved ease of use, which leads to an enhanced smoothness of the straightened hair. The composition comprises at least one carboxylic acid of the formula (I) in combination with at least one quaternary ammonium compound having two long-chain hydrocarbon groups: R—;CO—;COOH Formula (I). In further aspects, the present invention concerns a process for semi-permanent straightening of the hair, utilizing said composition, the use of the composition for straightening hair, and a kit comprising the composition and a straightening iron.