Yemen's Houthi movement says it now considers Saudi airspace a "theatre of military operations".
They are also warning international airlines to stop flying to the kingdom.
Earlier, Saudia Arabia confirmed the deaths of three foreign nationals in attacks at two separate international airports.
Khaled Batarfi, Saudi political analyst and author, tells Al Jazeera that the Houthis have made similar threats to Saudi Arabia before but argues the country is better equipped to defend itself now.
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