A connecting flight (or connecting service) used to transfer from one flight to another, often from an international to a domestic flight.
成田での接続便に間に合うように早めに到着してください。
Please arrive early so you can make your connecting flight at Narita.
台風で接続便が欠航し、乗客は振替便を待った。
The typhoon canceled the connecting flight, and passengers waited for rebooked flights.
国際線から国内線への接続便で荷物が間に合わなかった。
Luggage didn't make the connecting flight from the international to the domestic flight.