World number two Kvitova beat Marion Bartoli 7-5 6-1 before seventh-ranked Berdych sealed victory with a 7-6 6-4 win over Richard Gasquet as both players went through the week unbeaten.
For Kvitova victory continued the success she enjoyed in 2011, including lifting the Wimbledon title and the Fed Cup as well as being the WTA player of the year.
This week she has beaten defending American Hopman Cup champion Bethanie Mattek-Sands, Bulgaria's Tsvetana Pironkova, world number one Caroline Wozniacki, of Denmark, and then Bartoli.
"It was a really good match (against Wozniacki) but today [Saturday] I played much better against Marion and it's always tough to play with someone at the top," Kvitova said.
"It's really good to win at the beginning of the season and of course I have to say thank you to Tomas because without him we wouldn't win."
Berdych was playing for the Czech Republic at the Hopman Cup for the third time and also went through undefeated in his men's singles matches with American Mardy Fish, Bulgaria's Grigor Dimitrov, Denmark's Frederik Nielsen and then Gasquet.
He said: "It couldn't be better, it was an extremely great week and first of all I need to congratulate my partner."
France also had a tremendous week in Perth as Bartoli and Gasquet guided them into the final for the second time, but they are still chasing that elusive first title.