"Yemeni air defences have been able, thanks to God, to shoot down a Saudi Apache aircraft with a new surface-to-air missile, which we will reveal later," Sarea said in a statement, as quoted by Yemeni Almasirah media network.
The incident is said to have occurred near the border with the Saudi region of Asir, which borders the northern part of Yemen.
Saudi Arabia hasn't confirmed the claims yet.
Yemen has been engulfed in an armed conflict between the government forces, led by President Abdrabuh Mansour Hadi, and the rebel Houthi movement for several years now. A Saudi-led coalition has been carrying out airstrikes against the Houthis at Hadi's request since March 2015.