Mrs Ethelston's Church of England Primary School, in Uplyme, Devon, prohibited photos and video filming, claiming it was due to changes in child protection and images legislation.
It is the first time the school has taken such measures.
Parents criticised the move and said they felt there was no legal reason why they cannot take photos for personal use.
Jane Souter, who has a son at the school and is chair of the Parents Teachers and Friends Association, said: "It is a shame but that is the way it is all going now, you are not allowed to do a lot of things because of rules and regulations.
"A lot of the parents think it is a great shame. There are people who have been there for many, many years and they are upset about it, although they do not blame the school.
"It is sad that you are not allowed to take pictures of your own children.
"It is all to do with the pictures getting into the wrong hands and the school has to follow its own code of conduct. "I am sure the school do not like it just as much as we do."
Another parent, who did not want to be named, said: "Parents want to record achievements through their child's life and not to be made to feel that they are all criminals and are going to upload dodgy photos to some porn site."
They added that many parents were upset that they could no longer take photos and fear photography will be banned at every school event.
They said: "Speaking to many parents, they were extremely annoyed and exasperated and no one really knew why they couldn't take photos of their children as they done so in the past.
"Many seemed just resigned that it was a sign of the times."
They added: "Please, please, clear this ridiculous nanny state affair up."
A spokesman for the Devon local education authority said: "It's a decision which individual head teachers come to, usually with consultation with governors."
