The presently claimed invention relates to a cosmetic composition for the semi-permanent deformation of keratin fibres, a method and a use thereof. The presently claimed invention provides a superior semi-permanent shaping performance, from eliminating hair frizz to straightening curls and waves, without compromising hair shine, hair manageability and hair conditioning; without imparting an unpleasant stinging and itching sensation; and without damaging hair. The presently claimed invention also generates a minimal amount fume, when hair are flat-ironed.