Reporter Hamdi al-Bokari, cameraman Abdulaziz al-Sabri and driver Munir al-Subaie went missing on January 18 while covering the conflict between rebels and Gulf-backed forces loyal to President Abedrabbo Mansour Hadi.
The pan-Arab news channel said on its website early morning today that the three had been freed "a short while ago" after having been kidnapped by "unknown gunmen".
In a message posted on his Facebook page, Bokari said he had been held by the Iran-backed Shiite Huthi rebels, under fire since March from a Saudi-led coalition, of which Qatar is a member.
The city of Taez is held by loyalists of Yemen's internationally recognised government, but it has been besieged by the Iran-backed rebels for months.
The Huthis overran Sanaa more than a year ago, forcing Hadi's government to flee the Yemeni capital.
Hadi loyalists backed by a Saudi-led coalition have fought back and have been trying to retake Taez province and pave the way towards the rebel-held capital.
