His daughter Kely Nascimento paid tribute to her father: "We are thanks to you. We love you infinitely. Rest in peace."
The former Santos FC star, widely regarded as one of the greatest footballers of all time, had been at the Albert Einstein Israelite Hospital in Sao Paulo since 29 November.
A medical report just before Christmas showed that he needed care for cardiac and renal dysfunction, having been battling colon cancer since September 2021.
His daughter Kely Nascimento paid tribute to her father on Instagram: "We are thanks to you. We love you infinitely. Rest in peace."
World shares tributes to football icon Pele - live updates
Pele - originally named Edson Arantes do Nascimento - began playing for Santos at the age of 15 and the Brazilian national team a year later, bursting onto the world football scene as a 17-year-old in the 1958 World Cup.
During his international career, he won three World Cups - in 1958, 1962 and 1970 - the only player to achieve this
He died at 3.27pm Brazilian time due to multiple organ failure resulting from his colon cancer, the hospital said in a statement.
Gary Lineker was among those hailing Pele's legacy following the news of his death.
He said on Twitter: "The most divine of footballers and joyous of men.
"He played a game only a few chosen ones have come close to."
England World Cup winner Sir Geoff Hurst said Pele "remains the greatest of all time".
He said: "I have so many memories of Pele, without doubt the best footballer I ever played against (with Bobby Moore being the best footballer I ever played alongside).
"For me Pele remains the greatest of all time and I was proud to be on the the pitch with him. RIP Pele and thank you."
Pele's role in Brazil's third victory, in Mexico in 1970, has gone down in football folklore, as he played a key role in arguably the sport's greatest ever international team.
His glittering 20-year career from 1957 to 1977 saw him score 757 goals in 831 games, although Santos claim his tally was closer to 1,000.
A post on Pele's official Instagram account following his death said the icon "enchanted the world".
"Inspiration and love marked the journey of King Pelé, who peacefully passed away today.
"On his journey, Edson enchanted the world with his genius in sport, stopped a war, carried out social works all over the world and spread what he most believed to be the cure for all our problems: love.
"His message today becomes a legacy for future generations.
"Love, love and love, forever."