To achieve notoriety means to become well-known for something bad.
例句
He achieved notoriety as chief counsel to President Nixon in the Watergate break-in.他因在水门事件中担任尼克松总统的首席法律顾问而声名狼藉。...Christian Lacroix, who gained notoriety as one of Paris's most flamboyant dress designers in the 1980s.20世纪80年代作为巴黎最大胆出位、夸张惹眼的服装设计师之一而人尽皆知的克里斯蒂安·拉克鲁瓦
英汉词典释义
n.
臭名, 声名狼藉
His daring escape from prison gained him a certain notoriety.他大胆的越狱使他臭名昭著。
英英词典释义
Noun
1. the state of being known for some unfavorable act or quality