The band's three platinum-selling albums, "Uncaged" (Atlantic/Southern Ground), "You Get What You Give" (Atlantic/Southern Ground), and "The Foundation" (Atlantic Records/Home Grown/Big Picture) have together sold more than six million copies and produced 11 No. 1 hit singles.
On the road, the Zac Brown Band performed for more than 1.3 million fans last year.
Tickets will go on sale June 7 at 10 a.m. CT at Tickets.com or by phone at 800-THE-CUBS.
The Cubs will be in Pittsburgh that weekend in September as part of a three-game series.
This will be the third concert at Wrigley Field this year. Billy Joel is scheduled to perform July 18, and Blake Shelton, The Band Perry, Neal McCoy, Dan + Shay will perform July 19.
Carrie Muskat is a reporter for MLB.com. She writes a blog, Muskat Ramblings, and you can follow her on Twitter @CarrieMuskat. This story was not subject to the approval of Major League Baseball or its clubs.