A statement from the Attorney General's Office said: "The terms of the order mean that if a picture claims to be of Venables or Thompson, even if it is not actually them, there will be a breach of the order.
"Providing details of the new identities of Venables and Thompson or their whereabouts is also prohibited - this order applies to material which is on the internet.
"There are many different images circulating online claiming to be of Venables or Thompson - potentially innocent individuals may be wrongly identified as being one of the two men and placed in danger.
"The order, and its enforcement, is therefore intended to protect not only Venables and Thompson but also those members of the public who have been incorrectly identified as being one of the two men."
Breaches of the order may be a contempt of court punishable by a jail sentence or fine, the statement said.