The top court validated provisional results announced on Wednesday based on vote tallies from 100% of polling stations.
Faye won more than 54% of votes in last Sunday's delayed presidential poll, with ruling coalition candidate Amadou Ba taking over 35%.
He is expected to be sworn in to replace outgoing President Macky Sall on April 2.
(Reporting by Bate Felix, Writing by Sofia Christensen, Editing by Andrew Cawthorne and Angus MacSwan)