The invention provides a bituminous composition comprising a bitumen in an amount ranging from 20 to 80% wt, a copolymer comprising one or more vinyl aromatic compounds and one or more conjugated dienes, in an amount of 0.1 to 7 % wt, and sulphur in an amount of 20 to 60% wt, all percentages based on the weight of bitumen, copolymer and sulphur. It further provides a process for making this composition and asphalt compositions comprising such bituminous composition.