Brisbane: German number one Alexander Zverev beat Nick Kyrgios in straight sets to give his country a 3-1 win over Australia in their Davis Cup World Group tie in Brisbane on Sunday.

Zverev produced some superb tennis to down Kyrgios 6-2, 7-6 (7/3), 6-2 in one hour and 48 minutes.

Zverev served beautifully throughout, only facing two break points in the match, both at the end of the second set and both of which he saved.

He also returned well, getting many of Kyrgios's thunderbolts back in play and then winning the battle from the back of the court.

"It's awesome, it's an amazing feeling and without my teammates it wouldn't have been possible," Zverev said.

"Obviously we're happy but hopefully this is just the beginning for us." 

Kyrgios went into the match full of expectation after an impressive win over Jan-Lennard Struff in Friday's opening singles.

Zverev, on the other hand, had looked out of touch on Friday and was pushed for almost four hours before seeing off 18-year-old Alex de Minaur in five sets.

But following the Germany win in the doubles on Saturday to give them a 2-1 lead, all the pressure was on Kyrgios, who had to win to keep the tie alive.

The mercurial Australian opened brilliantly, holding his serve to love much to the delight of the boisterous home crowd.

But that was almost as good as it got for the Australian team, as Kyrgios lost two of his next three service games to surrender the opening set in just 23 minutes.

Kyrgios appeared troubled by an elbow problem in the first set and it became more noticeable in the second, the Australian often shaking his right arm between points.

He served better in the second set, firing down eight aces, but at 4-3 he had a medical timeout for treatment on his arm.

The Australian continued to serve well and had two set points on Zverev's serve at 6-5, but the German saved both then played a superb tiebreak to take a stranglehold on the rubber.

Once Zverev broke to go ahead 3-1 the result was never really in doubt and at 2-5, Kyrgios was broken again to give Germany the tie. 

Under new Davis Cup rules, the dead rubber between Struff and de Minaur was not played.