Also, Novak Djokovic rallied from a set down to beat fellow Serb Viktor Troicki 4-6, 6-3, 6-1 and reach the quarterfinals of the Paris Masters. He will play Jo-Wilfried Tsonga, who defeated Andreas Seppi of Italy 6-3, 6-4.
"I just need to get in better shape as far as movement, and kind of catch up a little bit," Roddick said.
The second-seeded Murray improved his record to 17-0 since the U.S. Open and has won 27 of his last 28 matches since mid-August.
Murray hit 27 winners compared to only four for the American. He broke Roddick twice in each set, taking the first with a crosscourt forehand winner before clinching victory with an ace.
"I started the match well, which against him is always important, because he plays his best when he's ahead," Murray said. "Because I broke him earlier, I was able to dictate a lot of what happened out there."
Roddick received a warning from the chair umpire at 2-0 in the second set after smashing his racket out of frustration.
Top-ranked Djokovic made 44 unforced errors compared to 28 winners. He dropped serve twice to lose the first set.
He then broke for a 4-2 lead in the second, and evened the match when Tipsarevic sent a backhand wide. The Wimbledon and U.S. Open champion then took a 4-0 lead in the final set.
"It's obvious that I'm still not playing in the form that I had in the last 10 months," said Djokovic, who returned to the court in Basel last week after a six-week injury layoff. "It takes a little bit of time to get into the rhythm."
The fifth-seeded Berdych trailed 5-1 in the first set and 4-1 in the second, but fought back both times to clinch his spot at the ATP World Tour Finals. His victory meant Tsonga and Mardy Fish also secured spots at the season-ending tournament in London, with Tipsarevic missing out.
Tipsarevic had two double-faults in a row to set up match point for Berdych.
Fish was leading 6-1, 6-7 (6), 2-1 against Juan Monaco of Argentina when a leg injury forced him to retire.
Having won six games in a row to take the first set, the seventh-seeded American had a chance to earn two match points in the tiebreaker of the second. But he hit a volley into the net, sent a forehand return long and then volleyed wide for Monaco to even the tiebreak.
"It's kind of a shame I couldn't get it done in the second set," Fish said, "because I felt like I was playing a lot better than he was."
Fish received treatment to his left thigh in the final set but was forced to quit after playing one more point.
"I started feeling it late, probably late in the second set," Fish said. "It went from sort of tightness and an uncomfortable feeling to, in that last game that I served, a lot more pain, a lot sharper."
The injury was a recurrence of his hamstring problem from the Swiss Indoors in Basel last week, but Fish still plans to play in the Tour Finals in London.
Information from The Associated Press was used in this report.