The present invention relates to a tubular shaped vascular prosthesis (10 11), mainly extending along the longitudinal dimension which has a main portion (20 21), having a first (201 201) and a second end (202 212), and at least an end portion (30 31) having an elasticity along its transverse direction with respect to its longitudinal dimension, said end portion (30 31) being coupled with one of the first (201 211) or second end (202 212) of the main portion (20 21) and can be coupled to the wall of a blood vessel.The present invention further relates to a method for realising a vascular prosthesis (10 11).