Police were called to Cedars Road, Kains Flat, about 35km north-east of Mudgee in the Mid-Western region about 5.45pm on Monday.

They were told 14-year-old Eli Jones and 12-year-old Hannah Jones went for a walk about 2.30pm and did not come back.

Police rescue, specialist police and the dog squad were all involved in the search, along with NSW Ambulance, Rural Fire Service Volunteer Rescue Association and the Westpac Lifesaver Rescue Helicopter Service.

The pair were found today in bushland at Kains Flat.

Detective Inspector Natalie Antaw said the pair were spotted by a toll rescue helicopter and "located safe and well".

"The helicopter winched down ambulance paramedics who were able to walk with the children out to a waiting ambulance, where they were reunited with their parents," she said.

Detective Inspector Antaw said they believe the children became disoriented and lost in the bush.

"The children have been seen to by paramedics who reported they are well, with minor cuts and abrasions," she said.

Detective Inspector Antaw said it's a "fantastic result" and a "sensational feeling" to see the children reunited with their family.

The family has issued a statement thanking emergency services and volunteers for finding the children.

"Our family would like to give our deepest thanks to emergency services and volunteers for assisting in the safe recovery of our children," the statement said.

"We also extend a special thank you to the community from both Mudgee and Sydney."

"While we are grateful for the assistance provided by the community and media, we respectfully request privacy at this time."