Athletic director David Blackburn announced McCall's hiring Sunday night in a release. A news conference is scheduled for Monday.
"I am excited to welcome Matt and his family to Chattanooga," Blackburn said in a statement. "He is the top up-and-coming assistant coach in the country and has learned from one of the best in college athletics. He is an excellent fit to continue the growth of our program."
McCall replaces Will Wade, who went 40-25 in two seasons. Chattanooga went 22-10 in 2014-15. Wade left Chattanooga to take over at VCU, where he had previously worked as an assistant.
McCall has spent the past four seasons as an assistant on Billy Donovan's Florida staff. He previously spent three seasons as an assistant at Florida Atlantic. McCall, a former student manager at Florida, worked as the Gators' director of basketball operations from 2006 to '08.
McCall said in a statement that "my family and I could not be happier."
"It takes a special place for me to leave the University of Florida, and that is exactly what we see in Chattanooga," McCall said.