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Antibodies are a key part of our immune defences and stop the virus from getting inside the body's cells.
The Imperial College London team found the number of people testing positive for antibodies has fallen by 26% between June and September.
They say immunity appears to be fading and there is a risk of catching the virus multiple times.
More than 350,000 people in England have taken an antibody test as part of the REACT-2 study so far.
In the first round of testing, at the end of June and the beginning of July, about 60 in 1,000 people had detectable antibodies.
But in the latest set of tests, in September, only 44 per 1,000 people were positive.
It suggests the number of people with antibodies fell by more than a quarter between summer and autumn.
"Immunity is waning quite rapidly, we're only three months after our first [round of tests] and we're already showing a 26% decline in antibodies," said Prof Helen Ward, one of the researchers.
The fall was greater in those over 65, compared with younger age groups, and in those without symptoms compared with those with full-blown Covid-19.
The number of healthcare workers with antibodies remained relatively high, which the researchers suggest may be due to regular exposure to the virus.
Antibodies stick to the surface of the coronavirus to stop it invading our body's cells, and attract the rest of the immune system.
Exactly what the antibody drop means for immunity is still uncertain. There are other parts of the immune system, such as T-cells, which may also play a role.
However, the researchers warn antibodies tend to be highly predictive of who is protected.
Prof Wendy Barclay said: "We can see the antibodies and we can see them declining and we know antibodies on their own are quite protective.
"On the balance of evidence, I would say it would look as if immunity declines away at the same rate as antibodies decline away, and that this is an indication of waning immunity."
There are four other human coronaviruses, which we catch multiple times in our lives. They cause common cold symptoms and we can be reinfected every six to 12 months.
There have been very few confirmed cases of people getting Covid twice. However, the researchers warn this may be due to immunity only just starting to fade since the peak infection rates of March and April.
The hope is the second infection will be milder than the first, even if immunity does decline, as the body should have an "immune memory" of the first encounter and know how to fight back.
The researchers say their findings do not scupper hopes of a vaccine, which may prove more effective than a real infection.
One of the researchers, Prof Graham Cooke, said: "The big picture is after the first wave, the great majority of the country didn't have evidence of protective immunity.
"The need for a vaccine is still very large, the data doesn't change that."
Commenting on the findings, Prof Jonathan Ball from the University of Nottingham said: "This study confirms suspicions that antibody responses - especially in vulnerable elderly populations - decrease over time."
However, he said it was still important to get a better overall view of "what protective immunity looks like".
Prof Eleanor Riley, from the University of Edinburgh, said it would be "premature" to assume immunity did not last, but "the data do lend weight to the concern that antibodies induced by natural infection may be short-lived, as is the case for other seasonal coronaviruses."