"Dykes said the only possible explanation is that the punched the infant in the head, which caused (her) injuries," the arrest citation said, according to the Richmond Register. "Dykes agreed that all the evidence suggested he was the one responsible."
Assistant Police Chief Rodney Richardson said the baby survived.
"Luckily, with a lot of prayer, I think, and some blessing, she's still alive," he told WKYT. "Right now, other than some long-term effects, she may be doing OK."
Dykes also is accused of pushing and strangling his girlfriend, who is the baby's mother, in March, the Herald-Leader reported.
He was jailed without bond, authorities said.