Excavator Angeliki Kottaridi says two of the poorly preserved graves excavated in a cemetery between 2012-2013 "might perhaps be linked" with Alexander I and his son, Perdiccas II.
Both reigned in the 5th century B.C., a century before the most famous ancient Macedonian king, Alexander III the Great.
In a statement Thursday, Kottaridi said the graves at Vergina — believed to be ancient Aegae — were looted and largely dismantled in antiquity. Surviving finds included vases and a sword.
A rich burial excavated decades ago at Vergina has been linked with Phillip II, father of Alexander the Great, although many experts disagree.