A silicone gel composition comprising: a linear diorganopolysiloxane in which the main chain is consisting of repeating diorganosiloxane units and both terminals of which are blocked with triorganosiloxy groups shown by the following general formula, having one or more alkenyl groups bound to a silicon atom in one molecule, wherein the amount is 100 parts by mass, R a R 1 b SiO (4-a-b)/2 wherein "R" independently represents an alkenyl group, "R 1 " independently represents a substituted or unsubstituted monovalent hydrocarbon group which does not contain an aliphatic unsaturated bond, "a" is a positive number of 0.0001 to 0.2, "b" is a positive number of 1.7 to 2.2, and a+b is 1.9 to 2.4; at least one organohydrogenpolysiloxane selected from the group consisting of a cyclic copolymer of methylhydrogensiloxane/dimethylsiloxane, methylhydrogenpolysiloxane both terminals of which are blocked with dimethylhydrogensiloxy groups, a methylhydrogensiloxane/dimethylsiloxane copolymer both terminals of which are blocked with dimethylhydrogensiloxy groups, a methylhydrogensiloxane/diphenylsiloxane copolymer both terminals of which are blocked with dimethylhydrogensiloxy groups, a methylhydrogensiloxane/dimethylsiloxane/diphenylsiloxane copolymer both terminals of which are blocked with dimethylhydrogensiloxy groups, methylhydrogenpolysiloxane both terminals of which are blocked with trimethylsiloxy groups, a dimethylsiloxane/methylhydrogensiloxane copolymer both terminals of which are blocked with trimethylsiloxy groups, a methylhydrogensiloxane/diphenylsiloxane copolymer both terminals of which are blocked with trimethylsiloxy groups, and a methylhydrogensiloxane/diphenylsiloxane/dimethylsiloxane copolymer both terminals of which are blocked with trimethylsiloxy groups, and shown by the following general formula, having two or more hydrogen atoms bound to a silicon atom in one molecule, wherein the amount is such that 0.6 to 3 hydrogen atoms bound to a silicon atom is contained relative to one alkenyl group bound to a silicon atom in the component, R 2 c H d SiO (4-c-d)/2 wherein R 2 independently represents a methyl or phenyl group "c" is a positive number of 0.7 to 2.2, "d" is a positive number of 0.001 to 1, and c+d is 0.8 to 3; a platinum-based catalyst, wherein the amount is an effective amount; and a carbon nanotube, wherein the amount is 0.01 to 3 parts by mass, wherein the penetration number defined by JIS K 2220 (1/4 cone), when the silicone gel composition is cured, is 10 to 200, and the rubber hardness defined by JIS K 6301, when the silicone gel composition is cured, is 0. a linear diorganopolysiloxane in which the main chain is consisting of repeating diorganosiloxane units and both terminals of which are blocked with triorganosiloxy groups shown by the following general formula, having one or more alkenyl groups bound to a silicon atom in one molecule, wherein the amount is 100 parts by mass, R a R 1 b SiO (4-a-b)/2 wherein "R" independently represents an alkenyl group, "R 1 " independently represents a substituted or unsubstituted monovalent hydrocarbon group which does not contain an aliphatic unsaturated bond, "a" is a positive number of 0.0001 to 0.2, "b" is a positive number of 1.7 to 2.2, and a+b is 1.9 to 2.4; at least one organohydrogenpolysiloxane selected from the group consisting of a cyclic copolymer of methylhydrogensiloxane/dimethylsiloxane, methylhydrogenpolysiloxane both terminals of which are blocked with dimethylhydrogensiloxy groups, a methylhydrogensiloxane/dimethylsiloxane copolymer both terminals of which are blocked with dimethylhydrogensiloxy groups, a methylhydrogensiloxane/diphenylsiloxane copolymer both terminals of which are blocked with dimethylhydrogensiloxy groups, a methylhydrogensiloxane/dimethylsiloxane/diphenylsiloxane copolymer both terminals of which are blocked with dimethylhydrogensiloxy groups, methylhydrogenpolysiloxane both terminals of which are blocked with trimethylsiloxy groups, a dimethylsiloxane/methylhydrogensiloxane copolymer both terminals of which are blocked with trimethylsiloxy groups, a methylhydrogensiloxane/diphenylsiloxane copolymer both terminals of which are blocked with trimethylsiloxy groups, and a methylhydrogensiloxane/diphenylsiloxane/dimethylsiloxane copolymer both terminals of which are blocked with trimethylsiloxy groups, and shown by the following general formula, having two or more hydrogen atoms bound to a silicon atom in one molecule, wherein the amount is such that 0.6 to 3 hydrogen atoms bound to a silicon atom is contained relative to one alkenyl group bound to a silicon atom in the component, R 2 c H d SiO (4-c-d)/2 wherein R 2 independently represents a methyl or phenyl group "c" is a positive number of 0.7 to 2.2, "d" is a positive number of 0.001 to 1, and c+d is 0.8 to 3; a platinum-based catalyst, wherein the amount is an effective amount; and a carbon nanotube, wherein the amount is 0.01 to 3 parts by mass,