The study, led by Public Health England (PHE), comes after Boris Johnson said getting all children back to school full-time in England next month is the "right thing for everybody" amid calls to boost coronavirus testing and tracing to ensure a safe return.
Between 16 January and 3 May, a total of 540,305 people, including 35,200 children under the age of 16, were tested for SARS-CoV-2, the virus that causes COVID-19 infection.
The sharp increase in the number of cases among children is mainly concentrated in COVID-19 "hotspots" such as California, Florida and Arizona.
Cases among children started to increase during the second week of March and peaked on April 11 before declining gradually - a similar trend seen in adults.
Children made up between 3 and 12 percent of total state tests, and between 3.7 and 18.6 percent of children tested were tested positive, according to the report.
When considered in light of positive cases among all age groups, children accounted for 1.1 per cent of all cases of Covid-19.
Citing a paper published in July in the journal JAMA Pediatrics, it was reported that children younger than 5 with mild to moderate cases of COVID-19 had much higher levels of virus in their noses than older children and adults.
Just over half (53 per cent) were boys.
On average, children were almost 6 years old when they tested positive for the virus, and just over half (53%; 742) the cases were among boys.
They said that young infants are more likely to have more tests done when they are unwell and parents are more likely to take them to a doctor if they are younger.
Citing a report by leading pediatric health groups, it was stated that more than 97,000 USA children had tested positive for the COVID-19 in the last two weeks of July, more than a quarter of the total number of children diagnosed nationwide since March.
The statement was supported by the Centers for Disease Control and Prevention that stated children as being far less likely to be hospitalised with COVID-19 than adults.
In all, 8 of the 1,408 children who tested positive for SARS-CoV-2 died, but only four died of COVID-19; they were aged between 10 and 15, and three had several co-existing conditions.
"Sars-CoV-2 positivity was low even in children with acute respiratory infection".
"The experience in England adds to the growing body of evidence on the limited role of children in the Covid-19 pandemic, with just over one per cent of confirmed cases occurring in children".
Dr Ladhani said more research was needed to establish how easily children pass on the virus and if children without symptoms are spreading it in the community.
But they point to other research that shows low infection rates among children and a separate study which found that among household infections children were "never the first to be infected or to be the source of infection in the household". The overall rate has been determined as 447 cases per 100,000 children in the population.
"With almost half a million SARS-CoV-2 tests performed during the first 4 months of 2020, the positivity rate among 35, 200 children tested was only 4.0% compared with 19.1%-34.9% in adults and older adults".