It will cut 1,700 jobs in the UK, along with thousands more in Germany, Spain and elsewhere.
The move is subject to talks with unions which have opposed compulsory redundancies.
The Unite union said the Airbus announcement was "another act of industrial vandalism" against the UK aerospace sector.
Some 134,000 people work for Airbus worldwide, with around a tenth of them in the UK.
The firm said the UK cuts would fall only on the commercial aircraft division at its two sites at Broughton in Flintshire and Filton, Bristol.
More details of the job losses and how they will break down between the two giant factories will come at the end of the week after talks with unions.
However, Unite said it expected 1,116 manufacturing jobs and 611 office-based jobs to go, shrinking Airbus's UK workforce by 15%.
The firm expects to make the cuts by summer 2021, but hopes the majority of redundancies will be voluntary or through early retirement of staff.
The company warned in April that it was "bleeding cash at an unprecedented speed" as it struggled with the impact of the coronavirus crisis.
It said on Tuesday that production had dropped by 40% in recent months, and that it did not expect air traffic to get back to pre-pandemic levels until 2023 at the earliest.
"Airbus is facing the gravest crisis this industry has ever experienced," said chief executive Guillaume Faury. "The measures we have taken so far have enabled us to absorb the initial shock of this global pandemic.
"Now, we must ensure that we can sustain our enterprise and emerge from the crisis as a healthy, global aerospace leader, adjusting to the overwhelming challenges of our customers."
News of the cuts comes as the international aviation industry reels from the impact of the pandemic. On Tuesday, EasyJet said it would close three UK bases and cut about 2,000 staff.
And Reuters reported that Air France/KLM was targeting more than 6,500 job cuts over the next two years.
Jim McMahon, Labour's shadow transport secretary, called for more government support in the UK.
"Labour has consistently called for an extension to the furlough in the most impacted industries, and a sectoral deal that supports the whole aviation industry including securing jobs and protecting the supply chain, while continuing to press for higher environmental standards."
A government spokesman said: "We understand this will be a difficult time for Airbus's employees and their families, and we stand ready to support anyone affected in any way we can.
"We will continue to work closely with the sector to ensure firms are able to rebuild as the civil aviation market recovers."
Aerospace giant Airbus says it plans to cut 15,000 jobs as it deals with the effects of the coronavirus crisis.