The Taiwanese mother, who was not yet 32 weeks pregnant, was in safe hands as there was a doctor on the flight from Bali to Los Angeles who helped deliver her baby.
A fellow passenger filmed the commotion.
In the video, you can hear other passengers clapping as the baby is wrapped in blankets.
One woman said: "This is a once in a lifetime thing. These tourists will never experience this again."
The mother reportedly went into labour six hours into the flight.
The pilot requested permission to land at Ted Stevens Anchorage Airport in Alaska out of consideration for the safety of the woman and her baby, however 30 minutes before landing, she gave birth.
The plane still stopped at Alaska where the mother was taken to a local hospital, before the plane carried on to Los Angeles.
China Airlines sent staff to see the woman at the hospital to send their good wishes.
When asked why they allowed a pregnant woman aboard a flight, they pointed out that women who are not yet 32 weeks pregnant are treated as normal passengers.
The mother and baby are in good health, according to the Independent.
The China Post reported that the child's nationality will depend on the birth certificate issued in Alaska, because the baby was born in US airspace.