Dollar is one of the most prominent African American preachers based in the Atlanta area. His World Changers Church International has 30,000 members in there, and the ministry has satellite churches across the nation.
The pastor faces misdemeanor charges of simple battery and cruelty to children. He has been released from jail and his attorney said he was expected to preach Sunday.
Dollar said in a statement he loved his children and would never hurt them.
Around 1 a.m. Friday, his 15-year-old daughter called 911. She told a Fayette County sheriff's deputy she and her father argued when he said she couldn't go to a party Saturday night, the report said.
She went into the kitchen with her older sister. When her father asked why she was crying, she told him, "I do not want to talk right now," the report said.
Her father charged at her, put his hands around her throat, began to punch her, and started hitting her with his shoe, the girl told the deputy. The deputy noted a scratch on her neck.
Dollar said he wouldn't let his daughter go to the party because of her poor grades.
The pastor's older daughter told the deputy her father grabbed her sister's shoulders and slapped her in the face and choked her for about five seconds.