Jean-Charles Moise secured 11.04% and Maryse Narcisse 8.99%, he added.
The election was held on 20 November, more than a year after the previous poll was annulled following allegations of widespread fraud.
That vote, in October 2015, was won by Mr Moise but opposition challenger Mr Celestin called foul and, after violent unrest, the ballot was annulled.
Violent clashes have also marked the wait for results since the latest election