In its latest weekly surveillance report, Public Health England (PHE) said that the rate for 10 to 19-year-olds stood at 72.3 cases per 100,000 people in the seven days to May 30.
This is up week-on-week from 55.1.
The second highest rate is among 20 to 29-year-olds, up from 31.6 to 52.0 - this is also the age group to see the biggest week-on-week increase.
Case rates in all regions of England have also increased, according to the report with north-west England seeing the largest rise, with 87.4 cases per 100,000 people in the seven days to May 30.
This figure is up week-on-week from 53.7 and is the highest for the region since the week ending February 28.
It is also the highest of any region in England.
South-west England has the lowest rate - 9.4 - up very slightly week-on-week from 9.1.
The news comes as the number of rapid Covid-19 tests carried out in England fell to its lowest level in six weeks – despite all members of the public being eligible to take two rapid tests a week.
Just over 4.8 million lateral flow device tests for Covid-19, or rapid tests, were conducted in England in the week to May 26, according to the latest Test and Trace figures.
It is the fifth week in a row that the number has decreased.
LFD tests are swab tests that give results in 30 minutes or less without the need for processing in a laboratory.
Meanwhile it has been reported that no new destinations will be added to the green travel list, while Portugal will moved to amber.
It had been hoped that Spanish and Greek islands plus Malta would make the green list in the latest travel update on Thursday.
But no additions will be made amid concerns about rising coronavirus cases in the UK.