The present disclosure relates to a solid curable transparent rubber composition containing a styrenic block copolymer having 2 or more poly(vinyl aromatic) blocks, a curing agent and additives. Once cured, the solid curable transparent rubber composition has a haze of less than 30% and a total light transmission of more than 80%. The disclosure further relates to a cured transparent rubber composition made thereof, and a manufacturing process for the cured composition. The present disclosure also relates to an article including the rubber composition, in particular for tubes, medical stoppers, catheters, dental dams and other medical applications and artificial nipples.