Ethiopians can now access the internet through a wifi connection but mobile phone data is still not available.
Internet access was blocked in the wake of what the authorities say is an attempted coup in northern Amhara state on Saturday. Five top officials died as a result of the violence, including army chief Seare Mekonnen.
The alleged ringleader, Brigadier General Asaminew Tsige was killed on Monday.
The extended internet outage was the second time this month that Ethiopians have been unable to go online.
Earlier, there was an eight-day internet shutdown coinciding with national school exams, though the reason for the blackout was never explained.
Internet World Stats estimates that 15% of Ethiopians have online access.