The industrious midfielder started his career at Blackpool and went on to play for Everton, Arsenal and Southampton before a spell in the United States.
Ball, who collapsed outside his home after tackling a bonfire, also managed seven clubs, including Portsmouth, Southampton and Manchester City.
Ball, who was awarded an MBE in 2000, is the second member of the side that beat West Germany 4-2 at Wembley to die. Captain Bobby Moore died of cancer in 1993.
His son Jimmy Ball said: "I was talking to him last night just after the football and he was in great form. We were talking about (Paul) Scholes' pass.
"And then I got a phone call in the middle of the night. It's unbelievable and very, very sad.
"I would like him to be known as a nice man with a passion for football. He had a big heart and was very generous."
Mr Ball said his father missed his mother Lesley terribly after she died from cancer three years ago and added: "I hope they are together now."
The couple were married for over 36 years.
Sir Geoff Hurst, who scored a hat-trick in the 1966 final, led the tributes to Ball.
He said: "He was the youngest member of the team and man of the match in the 1966 World Cup final.
"Socially he was always a good laugh and the 1966 team mixed a lot after then."
He added: "We are all totally devastated."
Lawrie McMenemy, who twice signed him for Southampton, told the BBC: "He was my guest at St Mary's on Saturday and I should have been playing golf with him this morning.
"We were very, very good friends.
"I was very fortunate to manage him. I wanted him badly not just for his ability but for his enthusiasm. Once his feet touched the grass he was like a performer on the stage.
"In his early career he was a runner, a scrapper, a fighter, a workmanlike player. At the end of his career he became the best one-touch footballer in the game.
"Alan started life as a road sweeper and ended up as the best lead violinist Southampton ever had.
"They were a tight-knit family that World Cup team but he has gone to join Bobby Moore now.
"He was about to move up to his close pal Mick Channon and start a new part of his life that he was very excited about.
"He had an enthusiasm for life, not just football, and it spread. He was a lovely fella."
His midfield partner in 1966 Sir Bobby Charlton said: "He was probably the best player that day and if it had not been for his impact the result could have been totally different.
"He did not appear to have a nerve in his body, and he was an inspiration to us all.
"Alan was always bright and bubbly in everything he did as a player. He went about his work with great enthusiasm and gusto and he always had a smile on his face.
"He was a sensational little player with great touch and great vision. He had great close control and although he wasn't a fast player he didn't need to be. He could see things clearly and always made the right decisions.
"He was the youngest member of our squad and we were all looking forward to our latest reunion in two weeks. I am very sad and shocked by the news. Alan will be badly missed."
England team-mate Alan Mullery said: "I just can't believe it. His nickname was 'Bouncy', he was just such a bouncy, lively 61-year-old.
"It's such a shock. He was a loveable character, heart of gold and lived football. He just loved playing for his country.
"He was a wonderful footballer to have in your side, he was so enthusiastic. He had a marvellous engine for a midfield player and had wonderful skill.
"In the World Cup final he was 5ft 10in when he started but he did so much running that day he was 5ft 5in at the end.
"When everyone else was tiring there was Bally running round the pitch."
England team-mate Jack Charlton added: "Alan was a brave little fella. Everybody loved Alan he was a lovely little lad.
"Every time I met him and spent time with him he was taking the mickey out of me, he was having a go at me. It was something we had going since 1966.
"I used to get annoyed with him and grab him by the shirt but it was only fun and we both knew it and I am going to miss Alan more than anybody because we had a tremendous relationship.
"I'm laughing now because I am thinking of Alan. I am not happy and I don't know why I'm laughing. It's just thinking of him. I've got so many good memories of Alan Ball."
Former Arsenal goalkeeper Bob Wilson, who played alongside Ball at Highbury in the 1970s, said: "Everyone can visualise him with his red hair and squeaky voice which is still there and will always be there.
"He was such an infectious character, an extraordinary character - his love for the game was amazing. He would argue all the time, love to talk about the game - just an amazing character."
Former Blackpool and England team-mate Jimmy Armfield said: "It is devastating news.
"He had energy, ambition, drive and passion - and if he was not passionate about something, he didn't do it."
Howard Kendall, who combined with Ball and Colin Harvey to form the 'holy trinity' at Everton, said: "We arrived at Everton in the same season and hit it off immediately.
"He was such a bubbly character, it was really Alan who made the partnership with me and Colin work as well as it did.
"This is a terrible loss for the club and for football. I'm devastated by the news, I have lost a friend and team-mate."
Ball was part of Everton's 1970 league championship-winning side and also appeared in the 1970 World Cup finals in Mexico.
In 1973, he became only the second England player to be sent off in a full international when he was dismissed in a vital World Cup qualifier in Poland.
He missed the return game at Wembley as a result, a match that famously saw England fail to reach the 1974 finals and resulted in Ramsey's dismissal.
Ball went on to briefly captain his country but his international career was ended abruptly in 1975 when Ball was only 30.
In May 2005, Ball put his World Cup winners' medal and commemorative tournament cap up for auction to raise money for his family. They were sold for £140,000.
He is survived by his son, Jimmy, as well as two daughters Mandy and Keeley.
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