She helped him fight his drug addiction.

她帮助他戒毒。

...long-term addiction to nicotine. [+ to]

对尼古丁成瘾已久

He needed money to feed his addiction to gambling. [+ to]

他需要钱来满足他的赌瘾。

I discovered an addiction to housework which I had never felt before.

我发现自己迷上了做家务，之前我从没有这种感觉。