A hydrogenated block copolymer composition comprising components (a) and (b), wherein component (a) is a selectively hydrogenated block copolymer comprising one or more structures A-B-A, (A-B-A)nX, A-(B-A)n, and (A-B)nX; component (b) is a selectively hydrogenated block copolymer comprising one or more structures C-D, D-C-D, and (D-C-)nX; and wherein "n" is 1 - 30, and "X" is a residue of a coupling agent; wherein before hydrogenation, A is a polymer block of a vinyl aromatic monomer, having a peak molecular weight (Mp) of 14 - 60 kg/mol measured according to ASTM 5296-19, B is a polymer block comprising 60 -100 mol% of one or more conjugated dienes, and 0-40 mol% of a vinyl aromatic monomer; C is a polymer block of a vinyl aromatic monomer, having a peak molecular weight of 1 - 8 kg/mol measured according to ASTM 5296-19; and D is a polymer block comprising 60 - 100 mol% of one or more conjugated dienes, and 0-40 mol% of a vinyl aromatic monomer; wherein after hydrogenation, 80 to 100 mol% of the polymerized diene units in the polymer blocks B and D are reduced; and 0-20 mol% of the polymerized vinyl aromatic monomer units in the polymer blocks A, B, C and D are reduced; wherein the vinyl aromatic monomers of the polymer blocks A, B, C and D are independently same or different and the conjugated diene monomers for the polymer blocks B and D are independently same or different; wherein the block copolymer (a) has a peak molecular weight of 150 - 1,000 kg/mol and the block copolymer (b) has a peak molecular weight of 6 - 60 kg/mol measured according to ASTM 5296-19; wherein the hydrogenated block copolymer composition has a compression set after 24 hrs. at 70°C of less than 40%, measured according to ASTM D395; and an apparent viscosity measured at 230°C and a shear rate of 5000/s of < 70 Pa. s. component (a) is a selectively hydrogenated block copolymer comprising one or more structures A-B-A, (A-B-A)nX, A-(B-A)n, and (A-B)nX; component (b) is a selectively hydrogenated block copolymer comprising one or more structures C-D, D-C-D, and (D-C-)nX; and wherein "n" is 1 - 30, and "X" is a residue of a coupling agent; wherein before hydrogenation, A is a polymer block of a vinyl aromatic monomer, having a peak molecular weight (Mp) of 14 - 60 kg/mol measured according to ASTM 5296-19, B is a polymer block comprising 60 -100 mol% of one or more conjugated dienes, and 0-40 mol% of a vinyl aromatic monomer; C is a polymer block of a vinyl aromatic monomer, having a peak molecular weight of 1 - 8 kg/mol measured according to ASTM 5296-19; and D is a polymer block comprising 60 - 100 mol% of one or more conjugated dienes, and 0-40 mol% of a vinyl aromatic monomer; A is a polymer block of a vinyl aromatic monomer, having a peak molecular weight (Mp) of 14 - 60 kg/mol measured according to ASTM 5296-19, B is a polymer block comprising 60 -100 mol% of one or more conjugated dienes, and 0-40 mol% of a vinyl aromatic monomer; C is a polymer block of a vinyl aromatic monomer, having a peak molecular weight of 1 - 8 kg/mol measured according to ASTM 5296-19; and D is a polymer block comprising 60 - 100 mol% of one or more conjugated dienes, and 0-40 mol% of a vinyl aromatic monomer; wherein after hydrogenation, 80 to 100 mol% of the polymerized diene units in the polymer blocks B and D are reduced; and 0-20 mol% of the polymerized vinyl aromatic monomer units in the polymer blocks A, B, C and D are reduced; 80 to 100 mol% of the polymerized diene units in the polymer blocks B and D are reduced; and 0-20 mol% of the polymerized vinyl aromatic monomer units in the polymer blocks A, B, C and D are reduced; wherein the vinyl aromatic monomers of the polymer blocks A, B, C and D are independently same or different and the conjugated diene monomers for the polymer blocks B and D are independently same or different; wherein the block copolymer (a) has a peak molecular weight of 150 - 1,000 kg/mol and the block copolymer (b) has a peak molecular weight of 6 - 60 kg/mol measured according to ASTM 5296-19; wherein the hydrogenated block copolymer composition has a compression set after 24 hrs. at 70°C of less than 40%, measured according to ASTM D395; and an apparent viscosity measured at 230°C and a shear rate of 5000/s of < 70 Pa. s.