Heathrow says the charges, which need to be approved by the Civil Aviation Authority (CAA), will help pay for £3 billion of investment, including the opening of the new Terminal 2 next year.
Airport bosses said that errors in previous passenger forecasts meant that Heathrow had lost out on around £650 million of charges over the last five years.
The CAA had based the previous level of charges on estimates that Heathrow would handle 78 million passengers a year by 2013, but the airport is only handling around 70 million.
More top news
Fighting for their right to misuse nitrous oxide, approximately 60 or 70 protesters inhaled 'laughing gas' amid concerns over a clampdown.
The pilot, from the Gnat private display team died after the display aircraft he was in crashed near the CarFest event in Cheshire.
The annual cycling festival in London was the biggest ever this year - with more than 25,000 taking part today.