The UAE, a key member of a Saudi-led Arab coalition fighting the Iran-backed rebels in Yemen's conflict, "is now within range of our missiles", Abdel Malek al-Huthi, told the rebel-controlled television station Al-Masirah.
"The companies which have been set up or which have investments in the UAE should no longer consider it a safe country."
Huthi said his forces had advanced their missile technology to reach targets north of the Saudi capital Riyadh and south of Islam's holiest city Mecca in the west of the oil-rich kingdom.
More than 8,400 people have been killed since the Arab coalition intervened in support of the Yemeni government in March 2015.