The next morning; the following morning. Used in speech and writing to indicate the morning after an event. 翌朝 is often used interchangeably in modern Japanese.
宴会のあくる朝、みんな二日酔いで遅刻した。
The morning after the party, everyone had hangovers and was late.
あくる朝、新聞で事件の続報を読んだ。
The next morning I read the follow-up report on the incident in the newspaper.
旅行のあくる朝は早く出発する予定だ。
On the morning after the trip we plan to leave early.