The present invention concerns a bituminous composition which comprises a bituminous component (I), a block copolymer (II), comprising at least two terminal blocks of a poly(monovinylaromatic hydrocarbon) and at least one block of a poly(conjugated diene), and optionally a filler (III), wherein (II) is a partially hydrogenated block polymer, comprising butadiene as the conjugated diene, wherein the poly(conjugated diene) block upon partial hydrogenation comprises less than 3 mol % 1,2-dine recurring units (A) and less than 20 mol % preferably less than 3 mol % ethylene recurring units (D), calculated on the total content mol/mol of conjugated diene recurring units.