Trials involving 1,077 people showed the injection led to them making antibodies and T-cells that can fight coronavirus.
The findings are hugely promising, but it is still too soon to know if this is enough to offer protection and larger trials are under way.
The UK has already ordered 100 million doses of the vaccine.
How does the vaccine work?
The 
vaccine - called ChAdOx1 nCoV-19 - is being developed at unprecedented speed.
It is made from a genetically engineered virus that causes the common cold in chimpanzees.
It has been heavily modified, first so it cannot cause infections in people and also to make it "look" more like 
coronavirus.
Scientists did this by transferring the genetic instructions for the 
coronavirus's "spike protein" - the crucial tool it uses to invade our cells - to the 
vaccine they were developing.
This means the 
vaccine resembles the 
coronavirus and the immune system can learn how to attack it.
What are antibodies and T-cells?
Much of the focus on 
coronavirus so far has been about antibodies, but these are only one part of our immune defence.
Antibodies are small proteins made by the immune system that stick onto the surface of viruses.
Neutralising antibodies can disable the 
coronavirus.
T-cells, a type of white blood cell, help co-ordinate the immune system and are able to spot which of the body's cells have been infected and destroy them.
Nearly all effective 
vaccines induce both an antibody and a T-cell response.
Levels of T-cells peaked 14 days after vaccination and antibody levels peaked after 28 days. The study has not run for long enough to understand how long they may last, the study in the Lancet showed.
Prof Andrew Pollard, from the Oxford research group told the BBC: "We're really pleased with the results published today as we're seeing both neutralising antibodies and T-cells.
"They're extremely promising and we believe the type of response that may be associated with protection.
"But the key question everyone wants to know is does the 
vaccine work, does it offer protection... and we're in a waiting game."
The study showed 90% of people developed neutralising antibodies after one dose. Only ten people were given two doses and all of them produced neutralising antibodies.
"We don't know the level needed for protection, but we can maximise responses with a second dose," Prof Pollard told the BBC.
Is it safe?
Yes, but there are side-effects.
There were no dangerous side-effects from taking the 
vaccine, however, 70% of people on the trial developed either fever or headache.
The researchers say this could be managed with paracetamol.
Prof Sarah Gilbert, from the University of Oxford, UK, says: "There is still much work to be done before we can confirm if our 
vaccine will help manage the 
Covid-19 pandemic, but these early results hold promise."
What are the next steps in the trial?
The results so far are promising, but their main purpose is to ensure the 
vaccine is safe enough to give to people.
The study cannot show whether the 
vaccine can either prevent people from becoming ill or even lessen their symptoms of 
Covid-19.
More than 10,000 people will take part in the next stage of the trials in the UK.
However, the trial has also been expanded to other countries because levels of 
coronavirus are low in the UK, making it hard to know if the 
vaccine is effective.
There will be a large trial involving 30,000 people in the US as well 2,000 in South Africa and 5,000 in Brazil.
There are also calls to perform "challenge trials" in which vaccinated people are deliberately infected with 
coronavirus. However, there are ethical concerns due to a lack of treatments.
When will I get a vaccine?
It is possible a 
coronavirus vaccine will be proven effective before the end of the year, however, it will not be widely available.
Health and care workers will be prioritised as will people who are deemed at high risk from 
Covid-19 due to their age or medical conditions.
However, widespread vaccination is likely to be, at the earliest, next year even if everything goes to plan.
Boris Johnson said: "Obviously I'm hopeful, I've got my fingers crossed, but to say I'm 100% confident we'll get a 
vaccine this year, or indeed next year, is, alas, just an exaggeration.
"We're not there yet."
What progress is being made with other 
vaccines?
The Oxford 
vaccine is not the first to reach this stage, with groups in the US and China also publishing similar results.
The US company Moderna was first out of the blocks and its 
vaccine can produce neutralising antibodies. They are injecting 
coronavirus RNA (its genetic code), which then starts making viral proteins in order to trigger an immune response.
The companies 
BioNtech and 
Pfizer have also had positive results using their RNA 
vaccine.
A technique similar to the Oxford one, developed in China, also seems promising.
However, all these approaches are at the absolute boundary of science and have not been proven to work before.
More traditional methods of 
vaccine development are also being investigated. The company Valneva is taking the whole 
coronavirus, inactivating it and then inject it.
In total there are 23 
coronavirus vaccines in clinical trials around the world and another 140 in early stage development.
The UK government has struck deals for 190 million doses of different 
vaccines.
This includes:
100 million doses of the Oxford 
vaccine made from a genetically engineered virus
30 million doses of the 
BioNtech/
Pfizer vaccine, which injects part of the 
coronavirus' genetic code
60 million doses of the Valneva inactivated 
coronavirusThese have been paid for even though it is uncertain which, if any, of the 
vaccines may prove effective for immunising a nation with 66m people.
Kate Bingham, chairwoman of the UK 
Vaccine Taskforce, told the BBC: "What we are doing is identifying the most promising 
vaccines across the different categories, or different types of 
vaccine, so that we can be sure that we do have a 
vaccine in case one of those actually proves to be both safe and effective.
"It's unlikely to be a single 
vaccine for everybody.
"We may well need different 
vaccines for different groups of people."