There was no voting in three major towns: Beni and Butembo in the east as well as Yumbi in the west, because of an ebola outbreak and ongoing instability.
The vote for many Congolese is a significant step. There is hope it will be the first time the country has a peaceful transfer of power since its independence in 1960.
Vote counting is expected to start next week.
The INEC says it will announce the presidential results on January 15 and a new president will be sworn in three days later.