A vulcanized thermoplastic olefinic rubber composition comprising at least
one vulcanizable rubber (A) selected from the group consisting of
ethylene-.alpha.-olefin copolymers, which contain an ethylene unit and a
unit of an .alpha.-olefin having 3 to 20 carbon atoms, and which are
produced with use of a metallocene catalyst, and an olefinic resin (B),
wherein X and Y as defined below of said (A) are from 1 to 40% and from
0.02 to 0.5, respectively, X=(W2/W0).times.100(%) Y=W2/W1 wherein W1 is a
weight of a swollen vulcanized rubber (A), which is obtained when (A) in
an amount of W0 is extracted with hot xylene, and W2 is a weight measured
after drying of the above-mentioned swollen vulcanized rubber (A).