A curable silicone composition comprising: an alkenyl-containing organopolysiloxane (A) that contains: a dialkylpolysiloxane (A-1) having on average at least 2 alkenyl groups in one molecule having a 25° C. viscosity in the range of 5,000 to 35,000 mPa·s, and a alkenyl-containing organopolysiloxane resin (A-2) consisting of SiO4/2 units, R12R2SiO1/2 units, and R13SiO1/2 units (where R1 designates alkyl groups with 1 to 10 carbon atoms, and R2 designates alkenyl groups) with the content of alkenyl groups ranging from 3.5 to 5.0 mass %, and with the ratio of the sum of the mole numbers of the R12R2SiO1/2 units and R13SiO1/2 units to 1 mole of the SiO4/2 units in the range from 0.5 to 1.4; an organopolysiloxane (B), wherein silicon-bonded hydrogen atoms are in an amount of at least 0.7 mass %; and a hydrosilylation catalyst (C). The composition is capable of forming a flex-resistant highly transparent cured silicone product with non-tacky surface.