The three-time Wimbledon victor died on Friday, three days after being admitted to hospital in Sao Paulo with mouth cancer.
The Brazilian tennis legend was nicknamed the "Tennis Ballerina" for the effortless grace she exhibited on court.
She swept the Brazilian scene, then the Caribbean circuit, and grabbed worldwide attention by winning the Italian Championships in 1958, beating the best English and Australian players.
Brazilian President Michel Temer has led tributes to the star, tweeting that she would be remembered as "the number one of tennis in the hearts of all Brazilians".
Born in Sao Paulo, Bueno started playing tennis at the age of 6 and entered her first tournament at 11.
Bueno passed away at the 9 de Julho hospital here, where she had been admitted several days earlier, doctors and family members said on Friday, reports Xinhua news agency.
One tennis writer, John Barrett, called her "the elegant queen of Brazilian tennis". She won her first major title as a 19-year-old, winning the 1959 Wimbledon.
"I came from Brazil, where there were only clay courts and we didn't have any opportunities to practice on grass", she said in an interview with the WTA. She won three Wimbledon singles titles and four at the U.S. Open. "She faced the disease with the same courage she always faced challenges".
Bueno was ranked No. 1 in the world in 1959, 1960, 1964 and 1966. She also reached the singles final at both the Australian Open and the French Open.
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