To provide a chloroprene rubber composition with which a vulcanized rubber having further improved heat resistance without impairing mechanical properties, the compression set and the tension fatigue can be obtained, and a rubber member for an automobile, a hose, a rubber molded article and a rubber vibration insulator comprising the vulcanized rubber.A chloroprene rubber composition, which comprises 100 parts by mass of at least one chloroprene rubber selected from the group consisting of a xanthogen-modified chloroprene rubber and a mercaptan-modified chloroprene rubber, and from 15 to 200 parts by mass of carbon black having a number average particle size of from 70 nm to 600 nm and having a DBP oil absorption of from 15 ml/100 g to 60 ml/100 g by oil absorption method A of JIS K6221.