Cosmetic composition for making up and/or caring for keratinous substances comprising, in a physiologically acceptable medium, at least: a) one ethylenic block copolymer (also referred to as ethylenic block polymer) comprising at least one first block having a glass transition temperature (Tg) of greater than or equal to 40°C and resulting, in all or in part, from one or more first monomers which are such that the homopolymer prepared from these monomers has a glass transition temperature of greater than or equal to 40°C, the said first block being obtained from: - at least one methacrylate monomer of formula CH 2 =C(CH 3)-COOR' 2 in which R' 2 represents a C 4 to C 12 cycloalkyl group, and - at least one acrylate monomer of formula CH 2 =CH-COOR 2 in which R 2 represents a C 4 to C 12 cycloalkyl group, and at least one second block having a glass transition temperature of less than or equal to 20°C and resulting, in all or in part, from one or more second monomers which are such that the homopolymer prepared from these monomers has a glass transition temperature of less than or equal to 20°C, and from an additional monomer chosen from acrylic acid; the said first block and the said second block being connected to one another via a random intermediate segment comprising at least one of the said first constituent monomers of the first block and at least one of the said second constituent monomers of the second block and the said block copolymer having a polydispersity index I of greater than 2, and at least b) one nonvolatile hydrocarbon ester oil comprising at least 16 carbon atoms and having a molar mass of less than 650 g/mol; the said composition comprising less than 5% by weight of volatile oil having a flash point of less than or equal to 80°C, with respect to the total weight of the composition. a) one ethylenic block copolymer (also referred to as ethylenic block polymer) comprising at least one first block having a glass transition temperature (Tg) of greater than or equal to 40°C and resulting, in all or in part, from one or more first monomers which are such that the homopolymer prepared from these monomers has a glass transition temperature of greater than or equal to 40°C, the said first block being obtained from: - at least one methacrylate monomer of formula CH 2 =C(CH 3)-COOR' 2 in which R' 2 represents a C 4 to C 12 cycloalkyl group, and - at least one acrylate monomer of formula CH 2 =CH-COOR 2 in which R 2 represents a C 4 to C 12 cycloalkyl group, and at least one second block having a glass transition temperature of less than or equal to 20°C and resulting, in all or in part, from one or more second monomers which are such that the homopolymer prepared from these monomers has a glass transition temperature of less than or equal to 20°C, and from an additional monomer chosen from acrylic acid; the said first block and the said second block being connected to one another via a random intermediate segment comprising at least one of the said first constituent monomers of the first block and at least one of the said second constituent monomers of the second block and the said block copolymer having a polydispersity index I of greater than 2, and at least - at least one methacrylate monomer of formula CH 2 =C(CH 3)-COOR' 2 in which R' 2 represents a C 4 to C 12 cycloalkyl group, and - at least one acrylate monomer of formula CH 2 =CH-COOR 2 in which R 2 represents a C 4 to C 12 cycloalkyl group, b) one nonvolatile hydrocarbon ester oil comprising at least 16 carbon atoms and having a molar mass of less than 650 g/mol;