The latest deal comes 15 years after the airline first got the Glasgow business to provide leather for the cabins of the European fleet.
BA said they had been impressed with the durability of the Andrew Muirhead products in that time.
The latest update will see short-haul aircraft - including the Airbus A319, A320 and A321 models - fitted with leather produced at Andrew Muirhead's tannery in the east end of Glasgow.
The project, being carried out with aircraft interiors specialist B/E Aerospace, is due to finish this year.
Muirhead sales director Archie Browning said: "British Airways is a brand we are incredibly proud to be working with and to have been chosen by them once again.
"The initial leather used has been in continuous service for over 10 years and we are certain the refurbishment will match that, or even last longer."
BA engineering customer excellence manager Paul Taylor said: "We have been very impressed with the leather and the length of time it has lasted on a very busy fleet."
Andrew Muirhead, which is part of the Scottish Leather Group, is the world's biggest supplier of leather to the global aviation sector with customers including Virgin, Emirates, Singapore Airlines and Thomson Airways.
It also has clients in the motor, train, coach and leisure interiors sectors including German football club Eintracht Frankfurt, transport giant FirstGroup and the Morgan Motor Company.