The children's parents are very upset by the data breach, which happened on Monday morning.
Hundreds of residents reportedly received the message from Bristol City Council, which was an invitation to participate in a consultation inquiry.
But the list of recipients was evident in the bulk e-mail.
The director of the board responsible for children and their families, Ann James, apologized to the parents and asked everyone who received the email to delete it.
In a letter to her parents, Ms. James acknowledged that he had been abused GDPR.
"It simply came to our notice then personal information were announced this morning, which should not have happened. We did not use the "blind carbon copy" when we sent you the email this morning, so your child's name and email address are visible to anyone who received the email.
"The breach was caused by human error and we unreservedly apologize for any inconvenience this may have caused you or your family."
The board has referred the data breach to the Office of the Information Commissioner and will fully comply with its protocol.
Ms James added: "I sincerely apologize for this error and I want to assure you that we have taken steps to find out what happened and why, in order to help prevent a similar incident in the future. ” The Office of the Information Commissioner (ICO) will investigate and make recommendations.