"Our IT systems are now back up and running and we will be operating a full flight schedule at Heathrow and Gatwick on Tuesday 30 May," the airline said in a statement.
Unfortunately, the same IT crash resulted in thousands of lost luggage items which the company said will take a longer time to resolve.
"Although we have already flown many bags to the correct airport, there is still some work to do and we know there are still significant numbers of customers who are yet to receive their luggage," the statement added.
BA chief executive Alex Cruz said a power surge on 27 May affected both the main and backup systems resulting in cancelled flights for 75,000 people.
The fiscal cost of this incident for BA is estimated to be around £100m as passengers file claims. The incident has already wiped £360m off the value of its parent company, IAG as the company's shares plummeted.
This incident has caused untold damage to the BA brand, which led the Superbrand rankings earlier this year.
In May, the airline appointed WPP agencies, Ogilvy, OgilvyOne and Group M to manage its creative, loyalty and media accounts respectively.
Meanwhile, rival airline Ryanair has been trolling the beleaguered BA on Twitter: