The Marietta Daily Journal reports that Cobb County commissioners on Tuesday denied a request from the Powder Springs store to have a wine and beer package license.
The vote was 4-1, with county chairman Tim Lee alone in support of the sales.
The store wanted the commission to waive its restriction of selling alcohol within 600 feet of a church.
The Rev. Bobby Wood of Pine Grove Baptist Church had said congregation members are asking commissioners not to approve the waiver for the store on Barrett Parkway.
Powder Springs is about 20 miles northwest of Atlanta.