Wrotnowski argued that Obama was a British subject at birth and therefore cannot meet the requirement for becoming president.
He wanted the high court to halt presidential electors from meeting to formally elect Obama as president. The meetings will be held Monday.
Echoing an appeal that was rejected by justices last week, Wrotnowski said that since Obama had dual nationality at birth -- his mother was American, his Kenyan father was a British subject -- he cannot possibly be a "natural born citizen."
Allegations raised on the Internet say the birth certificate showing that Obama was born in Hawaii on Aug. 4, 1961, is a fake.
But Hawaii officials say they have checked health department records and have determined there's no doubt Obama was born in Hawaii.
In November, Wrotnowski tried to keep Obama off the ballot. That, clearly, did not happen.
“This legal challenge was based on erroneous information and was legitimately dismissed at the state level,” Connecticut Secretary of the State Susan Bysiewicz said in a news release. “I am relieved that the justices of the U.S. Supreme Court found no reason to question the view of our own jurists in Connecticut, who found that President-elect Obama was eligible to become president and as such had every right to be on our state’s ballots and certified as the winner of Connecticut’s seven electoral votes.”