The moves come after Heathrow removed its requirement for customers to wear a face mask in its terminals on Wednesday (16 March), which BA welcomed as a "really positive step forward".
Also from Wednesday (16 March), BA customers will only be required to wear a face covering onboard if the destination they’re travelling to requires it.
A spokesperson for the carrier said: "As an international airline we fly to a large number of countries around the world, all of which have their own local restrictions and legal requirements.
"We’re working through these and from Wednesday (16 March), customers will only be required to wear a face covering onboard our flights if the destination they’re travelling to requires it."
Meanwhile, Virgin Atlantic said its customers should have the personal choice whether to wear a mask onboard now the face covering restriction has been lifted in England.
A spokesperson for the carrier said: "As we learn to live with Covid and with the legal requirement to wear a face mask now removed in England, we believe our customers should have the personal choice whether to wear a mask onboard, on routes where international regulations around mask wearing do not apply.
"This policy will be introduced gradually, beginning with our Caribbean services from Heathrow and Manchester airports and we encourage everyone to be respectful of fellow passengers’ mask preferences."
