They had fled across the border to Bangladesh amid heavy fighting between the Myanmar military and rebel insurgents in Rakhine
The GNA interior ministry said in a statement that the migrants had been killed in the town of Mizda and that 11 injured survivors were taken to a hospital in Zintan.
Libya has long been a destination for migrants because of its oil-funded economy, but is also an important way-station for people attempting to reach Europe across the Mediterranean.
"We have just learned of this tragedy and are following up to get more details and provide assistance to survivors," said Safa Msehli, Libya spokeswoman for the International Organisation for Migration.