Report says protesters were setting tires on fire, overturning vehicles, erecting barricades, and fighting with security forces after the verdict was announced late Friday.
The court announced 14 candidates, which included Wade, the incumbent ruler, who has been in power for the past 11 years.
The candidacy of Senegalese pop star Youssou N’Dour was declared invalid for the February 26 election.
Reports said N’Dour was omitted because he had not gathered the necessary 10,000 valid signatures backing his candidacy.
Reacting to the court ruling, N’Dour said the constitution makes it clear that President Wade should not have the right to run again.
“History is being made today here in Senegal. We are not going to accept anything else but our constitution, which is very clear. He (Wade) doesn’t have the right to run once more. It’s my final word on this. It’s clear and we are ready,” said N’Dour.