The 85-year-old died on Wednesday after going into cardiac arrest.
Speaking to People, Jamie Lee praised the relationship between herself and her father which developed later in life.
"His personal failings and public successes have been well documented," she explained.
"And my relationship with him, although non-existent for much of my life, in the end was good and based on mutual respect rather than any father and daughter model. He adored his wife, and she [adored] him."
Jamie Lee went on to discuss Tony's role as an inspiration to young Jewish people.
"The nicest thing from the 500 emails and countless phone calls and texts and shouts of condolence from people passing me on the street as I walked today was the idea that for a generation of young Jewish people, he truly 'represented' his tribe and so in turn, his success was theirs," she said.
"He enjoyed being in a group of strangers and always asked where someone was from and loved signing autographs. His representation that dreams could come true moved me today more than any personal loss. I'm proud to be his daughter."
Tony will be remembered at a memorial service