Prime Minister Antonis Samaras today described the find as "unique" after he visited the site, which dates to the era following Alexander's death, at the ancient town of Amphipolis in northern Greece.
"It is certain that we stand before an exceptionally important find," Samaras said in a statement. "This is a monument with unique characteristics."
Hidden under a hill at the ancient town, the Hellenistic-era mound containing the tomb has a near-circular circumference of 497 metres, Samaras said.
"The tomb is definitely dated to the period following the death of Alexander the Great (in 323 BC), but we cannot say who it belonged to," supervising archaeologist Katerina Peristeri told Mega channel.
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Built on the banks of the river Strymon, some 60 kilometres from the modern city of Serres, Amphipolis was an important city of the ancient Macedonian kingdom under Alexander.
Alexander's Persian wife Roxanne and son Alexander were exiled to Amphipolis and murdered there on the orders of his successor King Cassander around 310 BCE.