The United Arab Emirates has summoned Iran's charge d'affaires in Abu Dhabi in response to a speech by Iranian President Hassan Rouhani that the foreign ministry described as "unacceptable", state news agency WAM said on Sunday.

Rouhani said in a speech on Saturday the UAE had made a "huge mistake" in reaching a agreement to normalise ties with Israel and called it a betrayal by the Gulf state.

"They [the UAE] better be mindful. They have committed a huge mistake, a treacherous act," he said of the agreement announced on Thursday.

The UAE foreign ministry said the speech was "unacceptable, inflammatory, and carrying serious repercussions for the security and stability of the Arabian Gulf region," the statement carried by WAM said.

The charge d'affaires has been given a "strongly worded memo", WAM said.

The foreign ministry reminded Iran of its duty to protect the UAE diplomatic mission in Tehran.

To protest the UAE-Israel agreement, a small group of Iranians gathered in front of the UAE embassy in Tehran late on Saturday, Iranian media reported.