Delta Maxi has 450,000 retail shops in Serbia, Albania, Bosnia and Herzegovina, Bulgaria and Montenegro, employing more than 15,000 people.
The closing of the transaction is expected in the third quarter of 2011.
"I am delighted to be welcoming Delhaize Group to Serbia", Miroslav Miskovic, president of Delta Holding, was quoted as saying in a statement released on the Serbian company's website.
"Over the past 10 years, Delta Maxi has developed into one of the leading retailers in Southeastern Europe," he added.