"They don't sit with us in first class. They haven't worked anywhere near hard enough to afford that. At that age, at that size, you're telling me they need to sit in first class? No, they do not. We're really strict on that.
"I turn left with Tana and they turn right and I say to the chief stewardess, 'Make sure those little f------ don't come anywhere near us, I want to sleep on this plane'. I worked my f------ arse off to sit that close to the pilot and you appreciate it more when you've grafted for it."
While Ramsay's children are older, younger children and babies in first and business class can be controversial.
Late last year, fashion blogger Arielle Noa Charnas said she was flying in first class with Delta Airlines when she was asked to move to the back of the plane due to her nine-month-old daughter's constant crying.
"On our way to LA a few days ago it was my first time flying with Ruby, I had a screaming crying sleepy baby who was so overwhelmed that she couldn't fall asleep," the New York mum wrote on Instagram.
"My husband and I paid for first class so that we'd have the extra space and could lay down with her - once we were boarded I was getting tons of eye rolls and head shakes from fellow passengers on @delta because my baby was crying (as if I could just look at Ruby and say okay now it's time to stop," she continued.
She said she was told that she was "upsetting" other first class passengers.
Charnas told US Weekly she refused and Ruby fell asleep after being walked up and down the aisles.
In 2014, Richard Branson said he hoped to solve the problem altogether by implenting a special "kids class" on Virgin flights.
"I would love to introduce kid's class," the Virgin Atlantic president told Conde Nast Traveler. "It would be a separate cabin for kids with nannies to look after them."
In 2011, Malaysia Airlines announced it would ban infants on its Airbus A380 and Boeing 747 flights, due to frequent complaints from other flyers.