A prefix meaning 'the following' or 'next' (as in the following day, week, etc.). Often used in written Japanese.
会議は中止になり、翌日に延期された。
The meeting was cancelled and postponed until the next day.
試験の合格発表は翌週に行われる予定です。
The exam results are scheduled to be announced the following week.
彼は事故に遭い、翌朝病院に運ばれた。
He had an accident and was taken to the hospital the next morning.