The dominant Bryan brothers, winners of five grand slam titles together, crushed their opponents to secure their 13th doubles triumph in 14 Davis Cup appearances.
"We will remember this for the rest of our lives," Mike Bryan said in a courtside interview.
"It's difficult to explain how we feel right now. It was a dream for us to win the final match."
"I couldn't be happier for these guys because they've been through it all together."
Andy Roddick, American number one, told a news conference: "To be here and bring the Cup back to the States is an amazing feeling.
"But more important, just to share the journey with these guys, it's been so much fun. For us to have our moment, I feel like we really do deserve it"
Patrick McEnroe, US captain, was elated with his team's breakthrough victory after seven unsuccessful years in charge.
"It's been a long road," said McEnroe, who captained the team for the first time in February 2001.
"I couldn't be happier for these guys because they've been through it all together.
"We've had a lot of ups and downs but this feels awesome."
USA too strong
Shamil Tarpishchev, the Russian captain who guided his team to Davis Cup titles in 2002 and last year, paid tribute to the winners.
"I want to congratulate the American team on a well-earned victory," Tarpishchev said.
"They played very well. Basically on this surface they were stronger."
Although the Bryans squandered an early break point off Andreev's serve in the opening set, they won the tiebreak 7-4 on an Andreev double-fault after coming from 3-1 down.
Cheered on by a near-capacity crowd of just under 13,000, the Bryans broke Davydenko in the first game of the second set and saved their only break point of the match in the sixth game before establishing a commanding two-set lead.
World number four Davydenko, a surprise omission from the opening singles matches, was again broken in the third and seventh games of the third set before right-hander Mike served out for victory.
Confetti sprayed into the air as US teammates Roddick and Blake ran on to the court to join the Bryan brothers in a celebratory huddle.
Holders Russia, who beat Argentina in last year's final in Moscow, have now lost to the United States three times in four Davis Cup ties.
With the 2007 title decided, Sunday's reverse singles matches at Memorial Coliseum will be shortened to the best-of-three sets.