He is also angry that pupils are now having to drink water or milk rather than juice - and believes it is an attempt to make parents pay for school dinners.
David, of Abbey Hulton, said: "The school's healthy eating policy has gone too far. Conor came home from school this week and told me he wasn't allowed to eat the crisps that I'd packed in his lunch box for him.
"He apologised for not eating them. He also said they wouldn't let him drink his juice either - they made him drink water. I wonder if they are trying to force everyone into school meals."
He added: "They should let children be children. The responsibility of what the children eat should be with their parents and I think these new rules are taking the guidelines too far. Conor is a healthy and active young lad - all of my kids are slim, athletic and eat well.
"I can't see why the school is policing the lunch boxes like this. Crisps are not banned, it is just a guideline. My children have good sandwiches, a little bit of juice, fruit and a low-fat bag of crisps. I never thought low-fat crisps would be a problem."
Fellow parent and mum-of-three Bernadette Finnegan, of Bucknall, made national headlines after leading the protests over the school's flavoured water rule.
On Conor's situation, headteacher Linda Williams said: "The pupil was offered fruit as an alternative to crisps but chose instead to eat their original snack. There was no issue, whatsoever, with them not swapping."
She added: "We regularly work with parents regarding our approach to promoting good health in school. Swapping to healthier snack options is often offered to pupils as part of the wider healthy eating approach taken within the school.
"We would welcome any parent who has concerns or wants to discuss the school's policy on healthy eating to talk to us directly. We work extremely hard to keep children fit and healthy while at school and have a number of schemes for our pupils to help with this.
"This work is making a positive difference to children's lives and is well supported by the children and their parents."