Heathrow (SP) Ltd, which owns the airport, grew traffic by 2.3% to 56.9 million for the nine months to the end of September.
Adjusted profits (ebitda) rose from £1.17 billion to £1.22 billion with revenue up 4.1% to £2.1 billion.
John Holland-Kaye, chief executive at Heathrow, said: "Expansion at Heathrow fills the gap in the UK’s long-term economic plan, by connecting all of Britain to global growth.
"Today’s strong set of results demonstrates that we’re moving closer to our goal of giving passengers the best airport service in the world and that we’re well-placed to make the private investment to fund expansion. Let’s make it happen."