His longtime personal assistant, Kate Edgar, told AFP he died at his home in New York's Greenwich Village, "surrounded by loved and loving ones" after a battle with cancer.
Sacks was the author of the 1973 book "Awakenings," which detailed his real-life experience with patients who suffered from a condition known as encephalitis lethargica, and how they were able to exit - however briefly - from their catatonic states with the aid of a drug.
Sacks announced in February that he had been diagnosed with terminal cancer after a rare melanoma of the eye, diagnosed nine years earlier, was found to have spread to his liver.
"I feel grateful that I have been granted nine years of good health and productivity since the original diagnosis, but now I am face to face with dying," he wrote in an essay in the New York Times opinion page.
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"It is up to me now to choose how to live out the months that remain to me. I have to live in the richest, deepest, most productive way I can."
He was educated at Oxford and then emigrated to Canada, and from there went on to the United States, arriving in New York in 1965 where he taught, wrote and practised for the rest of his life.
At the time of his death, he was a professor of neurology at New York University's School of Medicine.
"NYU School of Medicine acknowledges with sadness the passing of our esteemed colleague Oliver Sacks, MD, whose breakthrough work in the fields of neurology and neuro psychiatry led to important understandings in these fields.
Earlier in his career, he was a clinical professor of neurology at Albert Einstein College of Medicine and a professor of neurology and psychology at Columbia University.
He gained a broad public following through his writings, which drew on his personal life and clinical experiences to bring to life the mysteries of the brain and human behaviour.
In "The Man Who Mistook His Wife for a Hat: And Other Clinical Tales," Sacks recounts case studies of patients struggling with neurological orders that have turned their perceptions inside out.