Britain’s Murray, the brother of Wimbledon and US Open champion Andy, has now won nine ATP doubles tournaments, with Australian Peers claiming his second tournament victory.
"It's been good,” Murray said of his recently developed partnership with Peers, which has yielded two titles in 11 events since the Australian Open.
“We've been playing a few months now, working hard together to try and get the team as good as we can.
"We've had some good results and we'll keep trying to go for the future."
"I thought it was a lot of fun,” Peers said. “The balls bounce a bit higher, it's a bit more lively. We handled it well."
There could have been a double-doubles win for Britain on Sunday as Colin Fleming and Jamie Marray contested the ATP Atlanta final against Edouard Roger-Vasselin of France and Dutchman Igor Sijsling, but Roger-Vasselin and Sijsling won 7-6(6) 6-3.
“We played a great match today again,” said Roger-Vasselin. “We played two weeks in a row so now we know each other quite well. We’re very happy because we lost in the final last week and now we got the title.”