The Miller campaign contested 8,153 write-in ballots that were counted for Murkowski, but she is still ahead by enough unchallenged votes to win the race.
The tea party-backed Miller won a surprise victory over Murkowski in the Republican primary, and has suggested that he'll demand a recount.
Murkowski is flying back to Alaska today, and is expected to declare victory.
Murkowski's win is the first write-in victory in a U.S. Senate campaign since Strom Thurmond's in 1954.
The Alaska Senate race was the last uncalled Senate contest in the country. Democrats retain control of the Senate by a 53-47 margin.
Full coverage of the race here.