Reiterating concerns he previously raised about the role of the internet being the “biggest factor” driving the trend, he described how easily youngsters could access “inspirational and instructional material” from their bedrooms.
Most are influenced by a range of extreme right-wing ideologies, he said, adding that “canny online memes” were drawing children into such views.
“It’s not really a consistent single ideology on the extreme right-wing side, and that is what has skewed the numbers most heavily,” he said.
A record number of child terror suspects are being arrested, Home Office figures published last month show.
Police detained 242 people on suspicion of terror offences in the year to June. Of these, 17% (40) were aged 17 and under.
This is up 60% from the 25 detained in the previous 12-month period, and is the highest number since records began more than 20 years ago, when just two children were arrested in the year to June 2002.
It means children are now the second largest age category for suspects being arrested for terrorism.
The 118 people aged 30 and over who were detained in the year to June make up the largest age category, accounting for 49% of arrests.
McCallum previously said extreme right-wing terrorism was “sadly here to stay” as he told how agents had been investigating teenagers as young as 13.
According to separate Home Office data published last year, children aged 10 and younger are being reported to the Government’s anti-terror programme, Prevent.
The latest figures on referrals to the scheme, which aims to stop people turning to terrorism, also set out how children aged 14 and under now account for the second largest proportion of potential cases.