He told The Anadolu Agency on Sunday that the oil companies would take the move to put pressure on the Shiite Houthi movement to set the Yemeni Presidential Chief of Staff Ahmed Awad bin Mubarak free.
The Houthis said on Saturday that they were forced to detain bin Mubarak as he walked on one of the streets of capital Sanaa to sabotage a bid to renege on a peace and partnership agreement signed between Yemen's political forces, on one hand, and the Yemeni presidency, on the other.
On Saturday, Shabwah tribes gave the Houthis and the Yemeni presidency 24 hours to release bin Mubarak, who hails from the same southern province.
The tribes also threatened to take escalatory measures in case bin Mubarak was not released, noting that the measures would include suspending oil production in Shabwah.
The Shabwah official said province Governor Ahmed Ali Bahaj had asked oil companies operating in Shabwah to suspend their work.
He added that the oil companies had willingly approved this request.
"This move is part of the escalatory measures threatened by Shabwah tribes," the official said.
He added that Shabwah chieftains were also contacting their peers in the neighboring provinces of Ma'rib and Hadhramaut to take similar moves.
Yemen has been suffering lawlessness since a popular uprising that erupted in 2011 ended the autocracy of President Ali Abdullah Saleh in 2012.
In recent months, the Arab country descended deeper into instability when the Shiite Houthi movement occupied capital Sanaa and moved to extend its control to other provinces.