Travellers spent the night sleeping on yoga mats spread on terminal floors on Saturday after BA cancelled all flights leaving the London hubs, while disruption continued into Sunday with dozens more services from Heathrow axed. But he says there will still be delays, as well as some canceled short-haul flights.
Until now, Mr Cruz had only posted videos on Twitter apologising for what he called a "horrible time for passengers", the report noted.
BA operates hundreds of flights from Heathrow and Gatwick on a typical day-and both are major hubs for worldwide travel.
During the wait of more than three and a half hours passengers read on their phones of the global IT disruption which had left all of BA's London outbound flights cancelled and thousands of passengers' holiday plans in tatters.
Flight compensation website Flightright.com said that with around 800 flights cancelled at Gatwick and Heathrow on Saturday and Sunday, BA was looking at having to pay around 61 million euros ($68 million) in compensation under European Union rules.
"We believe the root cause was a power supply issue", said Cruz, adding that IT teams were working "tirelessly" to fix the problems.
"We have no evidence whatsoever that there was any cyberattack of any sort".
Experts predict the knock-on effect on the BA could continue for several days.
The chief executive said he is "profusely" sorry for the IT meltdown that disrupted the flights of 75,000 passengers.
The U.K. carrier is still processing thousands of passengers who missed flights or lost their luggage.
There are still some disruptions to BA flights from London Heathrow, according to the airport administration.
ABC News on Saturday observed thousands of passengers at one of British Airways' terminals at Heathrow Airport, with some saying they were never alerted that their flights were canceled.
The GMB union said the airline's decision to outsource hundreds of IT jobs to India a year ago was behind the problems, the Guardian reported.
Mr. Cruz on Saturday said those efforts also had been hobbled, though, by the computer outage.
Additional airport staff have been providing information and giving out free water and snacks, Heathrow said.
Sundays generally are the least busy day for airlines, limiting the number of British Airways customers affected and making it easier to restore operations to normal.