The boys, Ben and Henry Cleary, ages 9 and 7, were found in Austin, Texas, Saturday, and their father, Daniel Cleary, 46, of Roswell, Ga., was taken into custody, WMAZ-TV, Macon, Ga., reported.
The boys' mother, Theresa Nash, flew to Austin to be reunited with her sons and take them back to their home in Suwanee, Ga., WGCL-TV, Atlanta reported Sunday.
Nash told WSB the three of them were "pretty tired" after the flight back to Georgia.
"We had two hours of sleep last night and we've been hugging and kissing and saying 'I love you, I love you more, I love you, I love you more but I love them more' and they're insisting that they love me more," Nash said.
Austin police Lt. Wuthipong Tantaksinanukij said officers, acting on a tip, found the father and boys at the Crossland Austin West hotel, CNN reported. He said Cleary was being held at the Williamson County Jail.
Roswell Police Lt. James H. McGee said Cleary would be charged with interstate interference with custody and extradited back to Georgia.
Nash, said the boys had gone with their father to see the Tennessee Aquarium in Chattanooga. But Cleary shut off his cellphone Dec. 23 and Nash said when they didn't return by Dec. 26 as scheduled, she found out her estranged husband also had emptied his house, abandoned his car and purchased a gun.