His 56th goal this season was scored on the power play with just 1:54 left in regulation. He scored his 55th at 17:55 of the second to break a 2-2 tie.
It was Kolzig's 300th NHL victory -- all with Washington.
Calgary's goals were scored by Jarome Inginla (power play) at 19:15 of the first and Kristin Huselius at 8:57of the second.
Miikka Kiprusoff was beaten three times on 34 shots for the Flames, who had not played at Washington since the 2004-05 season.
They had won three of four.
Celebrity Breakups and divorces of 2014 [PHOTOS]