Successive means happening or existing one after another without a break.
例句
Jackson was the winner for a second successive year...杰克逊已经是连续第二年获胜了。Britain was suffering from the failure of successive governments to co-ordinate a national transport policy.接连几届政府都没能协调出一个全国性的交通运输政策,英国因此而深受其苦。