"If you cannot afford a private rehabilitation clinic, there is a two-year waiting list for help," Mitch Winehouse said at the singer's funeral.
He said the 27-year-old had "conquered" her drug addiction and had been "trying hard to deal with her drinking".
He added she had been her happiest "for years" in her final days.
MP Keith Vaz has offered to help with the foundation as Mr Winehouse gave evidence to the Commons home affairs select committee during its inquiry into drugs in 2009.
"I am very happy to help Mitch in any way I can with his important campaign to help rehabilitate those most vulnerable in our society," Mr Vaz said.
On Tuesday, a cremation in Golders Green followed a private service for the singer at Edgwarebury Cemetery in Edgware, north London.
Music producer Mark Ronson and TV star Kelly Osbourne were among the mourners.
At the service, Mitch Winehouse read a eulogy that ended with the words: "Goodnight, my angel, sleep tight. Mummy and Daddy love you ever so much."
He said his Grammy Award-winning daughter, who was found dead on Saturday, had been trying to deal with her drinking and had "just completed three weeks of abstinence".
Mr Winehouse added that his daughter had spoken of her plans to get sober saying: "Dad I've had enough, I can't stand the look on your and the family's faces any more."
"Knowing she wasn't depressed, knowing she... passed away happy, it makes us all feel better," he added.
An inquest into Winehouse's death was opened and adjourned until 26 October at London's St Pancras Coroner's Court on Monday.
A post-mortem examination also took place on Monday, although no cause of death was given. Source : BBC News
