The approval is subject to securing a suitable premises in the town.
On the days when the branch surgery is not open, people will still be able to access the Central Dales surgeries in Aysgarth or Hawes, according to the ICB.
Alex Seale, from the ICB, said: “We know how deeply local people value having access to healthcare close to home, particularly in a very rural community like Reeth, and we tried very hard to find an alternative provider who could viably take over the Reeth Medical Centre contract, unfortunately, without success.
“However, establishing a branch surgery is a practical and proportionate way to protect access for patients following the hand back of the Reeth Medical Centre contract, while ensuring services remain safe and sustainable for the long term.”
The senior officer added that without a presence in Reeth, patients would face significantly longer journeys, which could act as a real barrier to care.
“We are grateful to Central Dales Practice and the wider GP practice community in Richmondshire for stepping forward with a solution that reflects the ICB’s commitment to reducing geographical health inequalities, when we were seemingly out of options,” she said.