The Roux family said he had been ill for some time before he died on Monday.
He was famous for opening Le Gavroche in London with his late brother Michel roux, who died last year, in 1967. The restaurant became the first in the UK to receive a Michelin star.
Paying tribute in a statement on Instagram, her son, Michel Roux Jr, said his love of life and his passion for making people happy through his food would be sorely missed.
“He has been a mentor to so many people in the hospitality industry and a true inspiration to aspiring chefs, including me,” he said.
Food critic Jay Rayner led the tributes on Twitter, saying, “Albert Roux was an extraordinary man, who left a massive imprint on the gastronomic history of his adopted country.
“The roll call of chefs who have gone through the kitchens of Gavroche alone is an important part of modern British restaurant culture. RIP. ”
Television chef James Martin has described Roux as “a true titan of the food scene in this country”, while the Michelin Guide has paid homage to “a father of British catering”.
Albert Roux OBE, along with his late brother Michel, was a father of the British catering industry and his legacy will live on through the many chefs who have passed through his cuisine. All of us in the Michelin Guide send our sincere condolences to the Roux family
– The MICHELIN Guide (@MichelinGuideUK) January 6, 2021
Such a sad start to the year… Albert Roux was a true titan of the gastronomic scene in this country and has inspired and trained some of the best and biggest names in the sector. RIP and today I’m going to open a bottle of the best red and raise a glass… actually the bottle for you and pic.twitter.com/Ph1Vs3ZWQx
– James Martin (@jamesmartinchef) January 6, 2021
Albert Roux’s death comes 10 months after the death of his brother Michel, in March 2020, at the age of 78.