Authorities say the Delta flight circled and made a safe landing just after 4 p.m. Thursday.
The American Airlines flight on the ground was headed to Dallas and took off as scheduled.
No one on either flight was hurt. It was not clear how close the two jets came to each other.
An agency spokesman says the Federal Aviation Administration is investigating.
Last July, the wing of a large passenger jet clipped the tail of a smaller aircraft at Logan, causing serious damage to both aircraft. One person went to a hospital.
