United Airlines said that March traffic rose 3.2% to 9.89 billion revenue passenger miles from 9.58 billion a year ago.
A revenue passenger mile is equal to one passenger flown one mile.
March capacity dropped 2.7% to 11.85 billion available seat miles from a year ago.
Load factor, or the percentage of seats filled with passengers, rose to 83.5% from 78.7% a year ago.