Hazel Blears, secretary of state for Communities and Local Government, said she rejected Mr Griffin's charge that the prime minister's use of the phrase represents an endorsement of BNP policy.
Doubts persist about the Israeli prime minister's commitment to "two states for two peoples" even though he used the same phrase when he stood next to President Obama.
The author told The Times newspaper he was prompted to officially register the phrase after seeing Chilean President Sebastian Pinera handing out copies of the message to the British Queen and prime minister during his tour of Europe.