The budget airline says that passengers could get cheaper deals due to increased competition from budget airlines.
If the airport gets a third runway then cheap airlines will operate a substantial number of flights from the West London airport for the first time.
EasyJet says it typically offers fares around 30 per cent lower than traditional airlines when it enters an airport.
The Luton-based airline is urging MPs to support the third runway in the forthcoming Commons vote.
It has been working closely with the airport for several years to ensure its requirements will be met if the scheme gets the go-ahead.
This includes 25-minute aircraft turnaround times and enabling passengers to board and disembark using steps at both aircraft doors rather than a single jet bridge, to save time.
EasyJet already operates from other hub airports such as Amsterdam Schiphol and Paris Charles De Gaulle.
Since 2000 the number of UK destinations served by Heathrow has fallen from 14 to eight, while the total number of seats on its flights to Europe has dropped by 40 per cent.
New low-cost entrants to the airport would launch routes to destinations not currently served, easyJet said.
Heathrow's plan to build a third runway was given the support of the Cabinet last week and MPs will soon vote on the scheme.
EasyJet's chief commercial and strategy officer Robert Carey said expanding Heathrow will provide significant benefits to all parts of the UK and is in the best interests of all passengers.
He added: "This expansion would enable low cost airlines like easyJet to operate from Heathrow – in addition to existing London bases – allowing them to provide new routes and increased competition on dozens more UK and European routes.
"EasyJet's costs are significantly lower than traditional airlines so easyJet's fares on these services would be lower than those paid by passengers today.
He continued: "We look forward to engaging with the UK's regional airports and their governments and other local organisations to work out which regions will enjoy the largest growth in passenger demand and economic benefits from new connections to Heathrow and the rest of the world."
Robert said expansion must be delivered sustainably, citing its use of Airbus A320neo aircraft which are quieter and use less fuel.
Sun Online Travel previously reported that easyJet passengers can now fly from their home towns to America on one ticket as the airline partners with Norwegian and WestJet.
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