Baby "Hawk" joins big brother Boone McCoy as perhaps the best-named kids on the country music scene.
"I'm thrilled that Hawk and his mom are doing well," Church said in a statement. "We aren't sleeping very much, but we are enjoying every part of this incredible journey. I'm very blessed and thankful."
The 37-year-old singer and his wife, who married in January 2008, welcomed their first son in October 2011.
"When you have a child, everything changes. I've changed a lot," the "Cold One" singer told Rolling Stone last year. "I suppress a lot of maybe the way I used to be. Is that dark side still probably there? Yeah. I just don't let it come out very much. But if you mess with my kid, if you mess with my family, well, I can bring it out."