Two different editions of the magazine's first issue have been produced - one in English and one in Arabic.
Different images of Hadid in a sequined headscarf feature on the two covers.
"I think the beautiful thing about there being international Vogues is that, as a fashion community, we are able to celebrate, and share with the world, different cultures," Hadid said.
Saudi princess Deena Aljuhani Abdulaziz has been appointed the editor-in-chief of the new magazine by its publisher Conde Nast International.
"In one poised photograph, [Hadid] communicates a thousand words to a region that's been waiting far too long for its Vogue voice to speak," Abdulaziz said.
'Leading the charge'
The reaction to the two covers has been broadly supportive - but some Instagram users left comments encouraging the publication to use Arabian models for their future issues.
"Such a gorgeous image, though I wish they'd have used an Arabian model - those girls are so beautiful," wrote one follower of the Vogue Arabia account.
Another said: "Been waiting for this for so long.
More about: #GigiHadid #Vogue #VogueArabia
