After three days of being able to play only 15 holes because frost had damaged the other three on the Marianske Lazne Golf Club course, the field got in a full 18 Sunday.
Johansson's 66 gave him a 63-hole total of 11-under 237 and only his second European PGA Tour victory, the other coming in the Belgian Open three years ago.
"It's kind of nice to finally break that barrier,'' Johansson said. "I've played very well in the last few tournaments."
Fellow Swede Klas Eriksson shot a 67 Sunday for a 240 and second place, just ahead of New Zealand's Frank Nobilo (71-241) and Russell Claydon of England (67-241).
The victory in the European tour's first event in the former East Bloc earned him $124,500.
Frost had damaged the 11th, 13th and 14th holes, but the greens had recovered enough by Sunday to use the entire 18 hole par-71 course, one of the oldest in Central Europe.
The weather was a factor all week with frost hampering the early rounds, bad light ending third-round play before all players had finished Saturday and fog delaying the beginning of the final.
After the third round finished Sunday morning, tournament director David Probyn ordered a rare "shotgun start" to begin the fourth round. The simultaneous start was used for the first time on the European tour, with all 70 players beginning their rounds simultaneously from different tees.
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Behind a home crowd, Tammie Green and her U.S. teammates turned a close contest into a no-contest at the Solheim Cup in White Sulphur Springs, West Virginia.
The Americans won eight of 10 singles matches Sunday, including surprising wins from Green and Kelly Robbins, to reclaim the women's version of the Ryder Cup from Europe, 13-7.
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