The celebrity chef, who often posts on Twitter and Facebook, has forbidden his daughters Poppy, 11, and Daisy, 10, from doing the same.
Oliver, a friend of Instagram’s co-founder Kevin Systrom, told Closer magazine: "I found out my two eldest girls had set up Instagram accounts in secret, which I was not happy about and soon put a stop to it.
“Poppy’s the only girl in her class still not allowed a mobile. It may sound harsh, but I do worry about the bullying that can go on with these sites.”
“I know the girls have had a hard time in the past at school because their dad’s on TV. I just don’t want to risk it happening online too. It’s impossible to keep an eye on,” he added.
Celebrity chef Jamie Oliver said European immigrants are much "tougher" workers than the "wet behind the ears" young Britons. We asked on our Facebook page whether you agreed with his comments, here is a selection of your answers:
I've worked in nursing homes for the past 10 years, working 70hrs-90hrs per week. The only other people that did that was the Filipina girls. Polish people in factories work more hours for a small hourly pay.
I don't like the fact our country is being overtaken but they take the jobs some people won't consider. I was happy to work on a minimum wage even as a single mother.
– Amanda Davis
I'm 19, work full-time, support my daughter and partner and don't claim one benefit - the only person 'wet behind their ears' is him.
It's people like him who shun this country and population into a downward spiral making people worthless. This man is not a leader or someone to listen to. A leader inspires people to be leaders not put them down.
– Jack Neale
He's an employer so he's at least in a position to judge. It's not a comfortable fact but a good proportion of Brits have been found out as mollycoddled and content to sit back and let others carry them.
These immigrants don't have the welfare safety net in their countries and if they don't work they don't eat.
"If we didn't have any, all of my restaurants would close tomorrow. There wouldn't be any Brits to replace them.
"It's all very well when people are slagging off immigration and I'm sure there are problems. Older people always complain about youth and I think it's a good thing because it is always changing. The young will be better at different things. But long hours in hot kitchens is not one of them!"
He said: "The average working hours in a week was 80 to 100. That was really normal in my 20s. But the EU regulation now is 48 hours,which is half a week's work for me. And they still whinge about it!
"British kids particularly, I have never seen anything so wet behind the ears! I have mummies phoning up for 23-year-olds saying to me, 'My son is too tired'. On a 48-hour-week! Are you having a laugh?"
Dyslexia sufferer Jamie Oliver has revealed he has just finished reading his first book at the age of 38.
Speaking at the weekend, the chef, who has written almost 20 cook books, said he had recently completed the book Catching Fire - the sequel to the Hunger Games - by Suzanne Collins, the Daily Telegraph reports.
The father-of-four said: "I'm dyslexic and until recently I'd never got through a book. But I read Catching Fire. I loved disappearing into a story."
He had previously admitted that he "got bored easily" when reading, and said: "I've never read a book in my life, which I know sounds incredibly ignorant but I'm dyslexic and I get bored easily."