The ruling party is seeking a police probe of its allegations.
"The Maldivian people can finally enjoy clarity over the outcome of the election," the president-elect said.
There were no grounds to annul the election, the Supreme Court's full bench ruled unanimously.
Yameen made no mention of his petition to annul the September 23 election.
The allegations of vote rigging have been widely ridiculed on social media.
A judgment is due on the president's petition to annul the September 23 election.
The Supreme Court was undecided on hearing from secret witnesses.
President Yameen asked the court to annul the September 23 election.
The company that printed ballot papers alleged its staff were offered bribes for false testimony.
