Cosmetic or dermatological composition for topical use, in particular for photoprotecting the skin and/or the hair, characterized in that it comprises, in a cosmetically acceptable support: (a) as first screening agent, at least one insoluble organic UV-screening agent with a particle size ranging from 10 nm to 5 μm, and chosen from organic UV-screening agents of the oxalanilide type; of the triazine type of the vinyl amide type; of the cinnamamide type; of the type comprising one or more benzazole and/or benzofuran or benzothiophene groups or of the indole type; of the aryl vinylene ketone type; of the phenylene bis-benzoxazinone derivative type of the amide, sulfonamide or carbamate acrylonitrile derivative type; the polyvalent metal salts of sulfonic or carboxylic organic UV-screening agents, and (b) as second screening agent, at least one amino-substituted 2-hydroxybenzophenone derivative of formula below: in which: R 1 and R 2, which may be identical or different, denote a hydrogen atom, a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical or a C 3 -C 10 cycloalkenyl radical; R 1 and R 2 may also form, with the nitrogen atom to which they are attached, a 5- or 6-membered ring; R 3 and R 4, which may be identical or different, denote a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical, a C 3 -C 10 cycloalkenyl radical, a C 1 -C 12 alkoxy radical, a (C 1 -C 20) alkoxycarbonyl radical, a C 1 -C 12 alkylamino radical, a C 1 -C 12 dialkylamino radical, an optionally substituted aryl or heteroaryl radical, a hydro-solubilizing substituent chosen from a carboxylate group, a sulfonate group and ammonium residue; X denotes a hydrogen atom or a group COOR 5 or CONR 6 R 7; R 5, R 6 and R 7, which may be identical or different, denote a hydrogen atom, a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical, a C 3 -C 10 cycloalkenyl radical, a group - o-Z or an aryl group; Y denotes - (CH 2) 2 -, - (CH 2) 3 -, - (CH 2) 4 - or -CH- (CH 3) -CH 2 -; Z represents -CH 2 -CH 3, -CH 2 CH 2 CH 3, -CH 2 -CH 2 -CH 2 -CH 3 or - CH (CH 3) CH 3; m is an integer ranging from 0 to 3; n is an integer ranging from 0 to 3; o is an integer ranging from 1 to 2. (a) as first screening agent, at least one insoluble organic UV-screening agent with a particle size ranging from 10 nm to 5 μm, and chosen from organic UV-screening agents of the oxalanilide type; of the triazine type of the vinyl amide type; of the cinnamamide type; of the type comprising one or more benzazole and/or benzofuran or benzothiophene groups or of the indole type; of the aryl vinylene ketone type; of the phenylene bis-benzoxazinone derivative type of the amide, sulfonamide or carbamate acrylonitrile derivative type; the polyvalent metal salts of sulfonic or carboxylic organic UV-screening agents, and (b) as second screening agent, at least one amino-substituted 2-hydroxybenzophenone derivative of formula below: in which: R 1 and R 2, which may be identical or different, denote a hydrogen atom, a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical or a C 3 -C 10 cycloalkenyl radical; R 1 and R 2 may also form, with the nitrogen atom to which they are attached, a 5- or 6-membered ring; R 3 and R 4, which may be identical or different, denote a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical, a C 3 -C 10 cycloalkenyl radical, a C 1 -C 12 alkoxy radical, a (C 1 -C 20) alkoxycarbonyl radical, a C 1 -C 12 alkylamino radical, a C 1 -C 12 dialkylamino radical, an optionally substituted aryl or heteroaryl radical, a hydro-solubilizing substituent chosen from a carboxylate group, a sulfonate group and ammonium residue; X denotes a hydrogen atom or a group COOR 5 or CONR 6 R 7; R 5, R 6 and R 7, which may be identical or different, denote a hydrogen atom, a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical, a C 3 -C 10 cycloalkenyl radical, a group - o-Z or an aryl group; Y denotes - (CH 2) 2 -, - (CH 2) 3 -, - (CH 2) 4 - or -CH- (CH 3) -CH 2 -; Z represents -CH 2 -CH 3, -CH 2 CH 2 CH 3, -CH 2 -CH 2 -CH 2 -CH 3 or - CH (CH 3) CH 3; m is an integer ranging from 0 to 3; n is an integer ranging from 0 to 3; o is an integer ranging from 1 to 2. R 1 and R 2, which may be identical or different, denote a hydrogen atom, a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical or a C 3 -C 10 cycloalkenyl radical; R 1 and R 2 may also form, with the nitrogen atom to which they are attached, a 5- or 6-membered ring; R 3 and R 4, which may be identical or different, denote a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical, a C 3 -C 10 cycloalkenyl radical, a C 1 -C 12 alkoxy radical, a (C 1 -C 20) alkoxycarbonyl radical, a C 1 -C 12 alkylamino radical, a C 1 -C 12 dialkylamino radical, an optionally substituted aryl or heteroaryl radical, a hydro-solubilizing substituent chosen from a carboxylate group, a sulfonate group and ammonium residue; X denotes a hydrogen atom or a group COOR 5 or CONR 6 R 7; R 5, R 6 and R 7, which may be identical or different, denote a hydrogen atom, a C 1 -C 20 alkyl radical, a C 2 -C 10 alkenyl radical, a C 3 -C 10 cycloalkyl radical, a C 3 -C 10 cycloalkenyl radical, a group - o-Z or an aryl group; Y denotes - (CH 2) 2 -, - (CH 2) 3 -, - (CH 2) 4 - or -CH- (CH 3) -CH 2 -; Z represents -CH 2 -CH 3, -CH 2 CH 2 CH 3, -CH 2 -CH 2 -CH 2 -CH 3 or - CH (CH 3) CH 3; m is an integer ranging from 0 to 3; n is an integer ranging from 0 to 3; o is an integer ranging from 1 to 2.