The 42-year-old man admitted in May to shooting and killing the bald eagle at his home in Porter.
Montgomery County officials said the suspect was taken to the hospital, though no deputies were injured.
The suspect is being held on a $750,000 bond after being arrested at a home in Porter, Texas, where he lived with the mother and her baby, according to the sheriff's office.
Vyshawn Johnson was shot to death on Bitter Root Drive in Porter during an argument, authorities say. Now, images have been released of the suspect believed to be tied to the case.
Michael Scott Kuykendall was charged with murder and booked into the Montgomery County Jail.
Investigators said a person of interest was identified and questioned, but they couldn't give much else after the shooting Tuesday.