"I was confident that India will win the World Cup. I would like to congratulate the whole Indian team and the country for this win, " Lata told a news channel.
The 88-year-old, who is a great admirer of Sachin Tendulkar, said: "Sachin toh desh ka Kohinoor hai. (Sachin is the jewel of India)."
India beat Sri Lanka by six wickets at the Wankhede Stadium Saturday to replicate their 1983 World Cup triumph.
Lata fasted when India played Pakistan in the semifinal at Mohali Wednesday.
A cricket fan, she was at Lord's watch the historic 1983 encounter in which Kapil's Devils bested the West Indies.