"I am looking forward to going to work for the people of Alabama in the new year", said Jones said in a statement. A judge Thursday dismissed Moore's effort to block the election results from being certified by claiming voter fraud.
Alabama Gov. Kay Ivey, Attorney General Steve Marshall and Secretary of State John Merrill signed off on results from all the Yellowhammer State's 67 counties.
Moore has refused to concede and even launched a last-minute legal challenge of the results, but a judge dismissed his suit, which called for certification of the results to be delayed. An Alabama judge rejected the request Thursday, and Jones was certified the victor.
Moore's lawyers have helpfully suggested a judge consider calling a new election to fill the seat. He told Al.com there were 118 complaints of voter fraud in December 12 election.
But his campaign was rocked in the final days of the race by allegations by several women that he had assaulted, molested or pursued them when they were teenagers - and he was in his 30s, working as an assistant district attorney.
No such injunction was issued. His office said 33 of those reports are still pending, and no fraud was found in 85 of the reports.
"That is very, very frightening to think that that occurred", Merrill said, "except when you realize that there is no town or community in the state of Alabama called Bordalama". Those stories were all lies, Merrill said. "As I said on election night, our victory marks a new chapter for our state and the nation".
But Moore and his team have insisted the election results are tainted.
CNN reached out to the Alabama Secretary of State's office for comment on whether Moore's filing would affect the process.
His complaint alleges that out-of-state residents had been allowed to vote and that election fraud experts had concluded through statistical analyses that fraud had taken place.
One of the experts, Richard Charnin, has written a book detailing " mathematical proof of a conspiracy" relating to President John F. Kennedy's assassination, according to the book description.