An ultraviolet curable organopolysiloxane composition for an elastomer molded product comprising: 0.05 to 10 parts by mass of a compound represented by the following general formula wherein R 1 represents a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms or an alkoxy group having 1 to 3 carbon atoms, the multiple R 1 s may be identical to or different from each other, and each R 2 independently represents a hydrogen atom, a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms or a triorganosilyl group; 100 parts by mass of a linear or branched ultraviolet curable organopolysiloxane whose molecule each has on average 1 to 4 groups represented by the following general formula, and whose main chain is composed of repeating diorganosiloxane units wherein R 3 represents a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms, the multiple R 3 s may be identical to or different from each other, and a chain line represents a bond; 1 to 20 parts by mass of a linear or branched organopolysiloxane whose molecule each has at least two groups represented by a partial structural formula of the following general formula, and whose main chain is composed of repeating diorganosiloxane units wherein R 4 represents a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms, the multiple R 4 s may be identical to or different from each other, and m is an integer of 1 to 20; 0.1 to 10 parts by mass of a photopolymerization initiator; and 100 parts by mass of an ultraviolet curable organopolysiloxane represented by the following general formula [Chemical formula 4] (R 5) 3 Si-X-[Si(R 5) 2 O] n -Si(R 5) 2 -X-Si(R 5) 3 wherein each R 5 independently represents a group selected from a substituted or unsubstituted monovalent hydrocarbon group having 1 to 10 carbon atoms, an acryloxy group, a methacryloxy group, an acryloxyalkyl group and a methacryloxyalkyl group, each molecule has at least two groups selected from an acryloxy group, a methacryloxy group, an acryloxyalkyl group and a methacryloxyalkyl group, n is an integer of 10 or larger, and X represents an oxygen atom or a divalent hydrocarbon group having 2 to 6 carbon atoms, wherein the ultraviolet curable organopolysiloxane composition comprises to or, and. 0.05 to 10 parts by mass of a compound represented by the following general formula wherein R 1 represents a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms or an alkoxy group having 1 to 3 carbon atoms, the multiple R 1 s may be identical to or different from each other, and each R 2 independently represents a hydrogen atom, a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms or a triorganosilyl group; 100 parts by mass of a linear or branched ultraviolet curable organopolysiloxane whose molecule each has on average 1 to 4 groups represented by the following general formula, and whose main chain is composed of repeating diorganosiloxane units wherein R 3 represents a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms, the multiple R 3 s may be identical to or different from each other, and a chain line represents a bond; 1 to 20 parts by mass of a linear or branched organopolysiloxane whose molecule each has at least two groups represented by a partial structural formula of the following general formula, and whose main chain is composed of repeating diorganosiloxane units wherein R 4 represents a substituted or unsubstituted monovalent hydrocarbon group having 1 to 20 carbon atoms, the multiple R 4 s may be identical to or different from each other, and m is an integer of 1 to 20; 0.1 to 10 parts by mass of a photopolymerization initiator; and 100 parts by mass of an ultraviolet curable organopolysiloxane represented by the following general formula [Chemical formula 4] (R 5) 3 Si-X-[Si(R 5) 2 O] n -Si(R 5) 2 -X-Si(R 5) 3 wherein each R 5 independently represents a group selected from a substituted or unsubstituted monovalent hydrocarbon group having 1 to 10 carbon atoms, an acryloxy group, a methacryloxy group, an acryloxyalkyl group and a methacryloxyalkyl group, each molecule has at least two groups selected from an acryloxy group, a methacryloxy group, an acryloxyalkyl group and a methacryloxyalkyl group, n is an integer of 10 or larger, and X represents an oxygen atom or a divalent hydrocarbon group having 2 to 6 carbon atoms, wherein the ultraviolet curable organopolysiloxane composition comprises to or, and. wherein each R 5 independently represents a group selected from a substituted or unsubstituted monovalent hydrocarbon group having 1 to 10 carbon atoms, an acryloxy group, a methacryloxy group, an acryloxyalkyl group and a methacryloxyalkyl group, each molecule has at least two groups selected from an acryloxy group, a methacryloxy group, an acryloxyalkyl group and a methacryloxyalkyl group, n is an integer of 10 or larger, and X represents an oxygen atom or a divalent hydrocarbon group having 2 to 6 carbon atoms, wherein the ultraviolet curable organopolysiloxane composition comprises to or, and.