Troisgros and his brother Jean, who himself died in 1983, helped found the nouvelle cuisine movement, and were known for creating the French classic dish of salmon with sorrel.
The pair ran the family-owned hotel and restaurant Les Frères Troisgros in Roanne together.
Having taken the reins from their parents Jean-Baptiste Troisgros and his wife Marie (who originally opened the business in 1930) back in 1957, the brothers installed a simple but creative culinary offering that proved to be a precursor to nouvelle cuisine.
The restaurant, which is now run Troisgros' son Michel, earned three Michelin stars in 1968 and has held them ever since.
Born in September 1928, in Chalon-sur-Saone, Troisgros initially learned his craft at his family's hotel-restaurant in Roanne, before heading for Paris where he refined his skills under Lucas Carton.
It was there he met the revolutionary chef Paul Bocuse, with whom he had an enduring friendship.
Bocuse passed away in 2018 at the age of 91.
In a tweet, the Michelin Guide paid tribute to Troisgros, calling him a giant who was the equal of Bocuse.
"His name will continue to shine bright," it said.