The Yemeni Houthi movement claimed on Saturday that it had launched drone attacks on warplane hangars and other military sites in Jizan airport in southern Saudi Arabia, Reuters said, citing the movement's television.
Military targets were also engaged in a second attack on the Abha airport.
The Houthi military spokesman reportedly warned of "more painful operations" to come if the Saudi-led coalition did not stop airstrikes on rebel targets.
The Saudi authorities have yet to confirm the attack.
The Saudi-led coalition has been engaged in the civil war in Yemen since March 2015, when it began carrying out airstrikes against the Houthi armed rebels at the request of Yemen's President Abd Rabbuh Mansur Hadi.
The conflict in Yemen - the Middle East's poorest nation - has resulted in a massive humanitarian crisis in the war-torn country.