According to the statement issued by the family, Naipaul, at the age of 85, will be cremated in a London-based house.
Naipaul was born of Indian ancestry in Trinidad, gained an Oxford University scholarship, and then spent the rest of his life living in England.
Vidiadhar Surajprasad Naipaul wrote more than 30 books and won the Nobel Literature Prize in 2001.
After the death of Naipaul, his wife said, "He lived a life full of creativity and enterprise".
Mrs Naipaul said his success could be attributed to his power to unite perceptive narrative and incorruptible scrutiny in works that compel us to see the presence of suppressed histories.
Naipaul's grandfather had come to Trinidad as a servant from north India while his father worked as a reporter for the Trinidad Guardian.
"Honestly, I have read a lot of Naipaul, but I don't think anything moved me as much as House for Mr Biswas".
As you know, Naipaul was born in Trinidad and Tobago and he had British citizenship, Haaretz reports.
He also notoriously fell out with author Paul Theroux, whom he had mentored, but the pair later reunited and resolved their differences. I think she had all the relapses and everything after that.
He met his first wife, Pat, at Oxford, who became his constant literary support. He released his first novel, The Mystic Masseur, in 1951.
The writer traveled as a self-described "barefoot colonial" from rural Trinidad to upper-class England, bagged the most coveted literary awards and a knighthood whilst being hailed by both, critics and peers alike, as one of the greatest English writers of the 20th century through his extraordinary career spanning half a century.
She died in 1996, and he later revealed that he felt he hastened her death by publicly admitting, while she fought cancer, that he had frequented prostitutes.
Years before the September 11, 2001 attacks, Naipaul devoted attention to Islamic radicalism in books including "Among the Believers" and "Beyond Belief".
The Academy singled out his 1987 work The Enigma of Arrival, saying he created an "unrelenting image of the placid collapse of the old colonial ruling culture and the demise of European neighbourhoods".
That journey led him many other achievements including being knighted in 1990 and winning the Booker prize in 1971 for his novel "In a Free State".
"Sir Vidia's Shadow" described Naipaul as a racist, sexist miser who threw terrifying tantrums and beat up women.