Police say the father told them that he was holding the baby with both hands around the torso and shaking the baby at around 12:30 a.m. He allegedly told police he "hit the back of the child's head on the kitchen counter at least three times," according to the report. He also allegedly struck the child's face, knocking her off the counter and onto the kitchen floor.
He told police he then left the infant with Zuniga who allegedly put the baby to bed and went back to her room to sleep. Cupich-Quinones said he went outside to smoke a cigarette and then went back to bed. He stated that at around 3:30 a.m., he woke up and began to argue with his wife about who was at fault for hurting the baby.
The argument allegedly went on for two hours before police were called.
"Hector Cupich-Quinones admitted that his assaultive actions caused the death of the child and took full responsibility for committing this offense," according to the police report.
After being read her rights, Zuniga invoked her right to counsel and did not provide a statement to police.
Both parents are being held at the Dallas County jail. The father is being held on a $1 million bond and the mother is being held on a $750,000 bond.
Police did not know if the couple had retained an attorney and Dallas County officials did not respond to request for comment.