Safarova blitzed Serbia's Jelena Jankovic 6-1, 6-1, taking nearly two-third of the points in the match. That result, combined with singles wins by Safarova and Petra Kvitova Saturday put the Czechs up 3-1 in the best-of five championship series.
Ana Ivanovic kept Serbia's hopes going in Sunday's first match with a 76-3, 7-5 victory over Kvitova, who had been 9-0 in Fed Cup matches in 2011 and 2012 to that point.
Ivanovic had Kvitova on the defensive much of the day, forcing 17 break-point chances and cashing in four while winning 72 percent of the points on serve.
Safarova, who beat Ivanovic 6-4, 6-3 Saturday, opened Sunday's match with a break against Jankovic and was up 4-0 before giving up a game. Jankovic saw a trainer between sets and didn't seem completely fit. She had the second set at 1-1, however, when Safarova truly took over, winning four consecutive games for the match and title.
The Czechs defeated Russia 3-2 in 2011 for their first Fed Cup title since 1988 when the country was part of Czechoslovakia. Serbia was playing in its first Fed Cup final.
Attkisson leaves CBS News, reportedly over network's 'liberal bias'
McPhee, Cokas 'working on their marriage' after affair