But aside from his academic achievements, the professor is also something of a medical marvel.
Now aged 70, he has long defied and baffled medical experts who predicted he had just months to live in 1963 when he was diagnosed with Motor Neurone Disease (MND).
Only 5% of people with the form of MND that he has – a condition called amyotrophic lateral sclerosis (ALS) or Lou Gehrig’s disease – survive for more than a decade after diagnosis.
Most die within a few years of diagnosis.
The fact that Prof Hawking has lived for nearly half a century with a condition that progressively attacks the nerves serving the muscles of the body has been described as remarkable.
The man himself says: “I have been lucky, that my condition has progressed more slowly than is often the case. But it shows that one need not lose hope.
“I am quite often asked: ‘How do you feel about having ALS?’
“The answer is, not a lot. I try to lead as normal a life as possible, and not think about my condition, or regret the things it prevents me from doing, which are not that many.”
Doctors are still in the dark about what causes motor neurone disease.
About 5% of cases are hereditary, meaning they are passed down from one generation to the next.
But the rest of the time, it is a mystery why someone who has previously been fit and well develops this debilitating disease.
Prof Hawking started having symptoms shortly before his 21st birthday. At first they were mild – a bit of clumsiness and few unexplained stumbles and falls.
But, predictably, by the very nature of the disease, his incurable condition worsened.
The diagnosis came as a great shock, but also helped shape his future.
“Although there was a cloud hanging over my future, I found, to my surprise, that I was enjoying life in the present more than before.
“I began to make progress with my research, and I got engaged to a girl called Jane Wilde, whom I had met just about the time my condition was diagnosed.
“That engagement changed my life. It gave me something to live for.”
Up until 1974, Prof Hawking and his wife Jane, who by that time had three children together, managed his ALS largely on their own.
He was still able to feed himself and get in and out of bed, although walking any great distance was not possible.
But as things got more difficult and his muscles began to fail him, he and his wife decided to take in one of Prof Hawking’s research students to live with them.
In exchange for help around the house, they were given free accommodation and personal tuition by the professor.
Over the next few years it became clear that the family would need professional nursing assistance and Professor Hawking would be spending most of his waking life in a wheelchair.
Then, in 1985, Professor Hawking developed a serious complication. He caught pneumonia.
His lungs, already weakened by his ALS, struggled to cope with the respiratory infection.
Often, this kills patients with MND, but Prof Hawking fought back.
To help with his breathing difficulties he needed an operation called a tracheotomy, where a tube is placed into the windpipe through the neck, effectively bypassing the mouth and nose.
The treatment was a success, but it irreversibly removed his voice and meant he would need around the clock care from a dedicated team for the rest of his life.
For a time, the only way Prof Hawking could communicate was to spell out words letter by letter, by raising his eyebrows when someone pointed to the right letter on a spelling card.
But then a computer expert in California, called Walt Woltosz, heard of Prof Hawking’s plight and sent him a computer program he had written, called Equalizer.
This allowed Professor Hawking to select words from a series of menus on the screen, controlled by a switch in his hand.
This was coupled to the speech synthesiser that has become Professor Hawking’s trademark voice.
Prof Hawking says: “One’s voice is very important. If you have a slurred voice, people are likely to treat you as mentally deficient: ‘Does he take sugar?’ This synthesiser is by far the best I have heard, because it varies the intonation, and doesn’t speak like a Dalek.
“The only trouble is that it gives me an American accent.”
More recently, patients with MND are beginning to be offered the option of voice banking – stockpiling recordings of themselves before their speech declines, so that when they need to use a computerised system it will be their own voice rather than a computerised version that is used.
This is not an option for Prof Hawking though.
Facing the future
His life, like anyone’s, has consisted of highs and lows. He and Jane divorced in 1990 after 26 years of marriage.
Five years later, he married again – this time to one of his nurses.
But this 11-year marriage also ended in divorce, amid allegations that Prof Hawking had been the victim of assault during the relationship – something the professor has denied.
Police investigating the case said they could find no evidence to back the claims.
A consistent thing in his life has been his work.
And at the age of 70, Professor Hawking shows no sign of slowing down on that front.
Although he has now stepped down from the Lucasian chair after a historic 30 years, he continues working at the University of Cambridge and recently published a new book – The Grand Design.
The grandfather-of-three continues to seek out new challenges.
He recently experienced first-hand what space travel feels like by taking a zero-gravity flight in a specially modified plane.
With regards to his physical health, he remains optimistic.
“The human race is so puny compared to the universe that being disabled is not of much cosmic significance.
“I’m sure my disability has a bearing on why I’m well known. People are fascinated by the contrast between my very limited physical powers, and the vast nature of the universe I deal with.
“I’m the archetype of a disabled genius, or should I say a physically challenged genius, to be politically correct. At least I’m obviously physically challenged. Whether I’m a genius is more open to doubt.”