A non-curable thermal-conductive silicone composition comprising essential components of: an organopolysiloxane having a kinematic viscosity, determined according to the following: a toluene solution with the component at 1.0 g/100 mL being prepared to determine the specific viscosity ηsp (25 °C) according to the following formula, where η represents the viscosity of the toluene solution, and η0 represents the viscosity of toluene, and where η and η0 are values measured at 25 °C with an Ubbelohde-type Ostwald viscometer, η sp = η / η 0 − 1 ηsp being inserted into the following formula to determine the intrinsic viscosity [η], where K' represents Huggins constant, η sp = η + K ′ η 2 [η] being inserted into the following formula to determine the molecular weight M, and η = 2.15 × 10 − 4 M 0.65 M being inserted into the following formula to determine the kinematic viscosity η A of the component, logη A = 1.00 + 0.0123 M 0.5 at 25°C of 1,000,000 mm 2 /s or more and contained in an amount of 5 to 20 mass% relative to a sum of the component and a component; a hydrolysable organopolysiloxane compound shown by the following general formula and contained in an amount of 80 to 95 mass% relative to the sum of the component and the component, wherein R 1 's each represent a monovalent hydrocarbon group having 1 to 10 carbon atoms optionally having a substituent and are identical to or different from one another, and "m" represents an integer of 5 to 100; and at least one heat conductive filler selected from the group consisting of metals, metal oxides, metal hydroxides, metal nitrides, metal carbides, and carbon allotropes, wherein the component is contained in an amount of 10 to 95 mass% relative to a total amount of the composition, wherein a mixture of the component and the component has a molecular weight distribution Mw/Mn as measured by gel permeation chromatography using toluene as a solvent of 10 or more. an organopolysiloxane having a kinematic viscosity, determined according to the following: a toluene solution with the component at 1.0 g/100 mL being prepared to determine the specific viscosity ηsp (25 °C) according to the following formula, where η represents the viscosity of the toluene solution, and η0 represents the viscosity of toluene, and where η and η0 are values measured at 25 °C with an Ubbelohde-type Ostwald viscometer, η sp = η / η 0 − 1 ηsp being inserted into the following formula to determine the intrinsic viscosity [η], where K' represents Huggins constant, η sp = η + K ′ η 2 [η] being inserted into the following formula to determine the molecular weight M, and η = 2.15 × 10 − 4 M 0.65 M being inserted into the following formula to determine the kinematic viscosity η A of the component, logη A = 1.00 + 0.0123 M 0.5 at 25°C of 1,000,000 mm 2 /s or more and contained in an amount of 5 to 20 mass% relative to a sum of the component and a component; a toluene solution with the component at 1.0 g/100 mL being prepared to determine the specific viscosity ηsp (25 °C) according to the following formula, where η represents the viscosity of the toluene solution, and η0 represents the viscosity of toluene, and where η and η0 are values measured at 25 °C with an Ubbelohde-type Ostwald viscometer, η sp = η / η 0 − 1 ηsp being inserted into the following formula to determine the intrinsic viscosity [η], where K' represents Huggins constant, η sp = η + K ′ η 2 [η] being inserted into the following formula to determine the molecular weight M, and η = 2.15 × 10 − 4 M 0.65 M being inserted into the following formula to determine the kinematic viscosity η A of the component, logη A = 1.00 + 0.0123 M 0.5 at 25°C of 1,000,000 mm 2 /s or more and contained in an amount of 5 to 20 mass% relative to a sum of the component and a component; a hydrolysable organopolysiloxane compound shown by the following general formula and contained in an amount of 80 to 95 mass% relative to the sum of the component and the component, wherein R 1 's each represent a monovalent hydrocarbon group having 1 to 10 carbon atoms optionally having a substituent and are identical to or different from one another, and "m" represents an integer of 5 to 100; and at least one heat conductive filler selected from the group consisting of metals, metal oxides, metal hydroxides, metal nitrides, metal carbides, and carbon allotropes, wherein the component is contained in an amount of 10 to 95 mass% relative to a total amount of the composition,