Adrian Aucoin also scored for the Flames, who climbed into a three-way tie with idle Minnesota and Colorado for first place in the Northwest Division at 84 points.
The Flames pounced on mistakes in the second period and built a 4-1 lead.
"You have to capitalize when you have those chances this time of year," Tanguay said. "We did and we won the game."
In the third, Kiprusoff stopped 16 of 17 shots to preserve the victory.
"We grabbed a little momentum in the second period and went from there," Iginla said. "Until then, the chances were very close."
In their previous two games -- both road losses -- the Flames had squandered leads, including a 3-0 advantage in a 6-4 defeat in Atlanta last Thursday.
"We've had trouble at the end of games lately," Tanguay said. "We need to learn to finish games. Today, Kipper was solid at the end."
Things got hectic for Kiprusoff after Chicago trimmed it to 4-2, but he held the Blackhawks at bay.
"I think we played smarter today and kept playing our game plan," Kiprusoff said. "It's crazy in our division. It's so close. We can't look at the other games and just worry about our games."
"We had a lot of great chances," Toews said. "We finally had a couple of power plays. When you have two or three in a row and it doesn't go in, it's hard to stay positive."
Chicago remained seven points behind eighth-place Vancouver and the playoff cutoff in the Western Conference. The Blackhawks have nine games remaining.
Although Calgary is in a stronger position than Chicago, Tanguay said the Flames are no less desperate.
"We're in no position where we can say we don't need the points as much as they need them," Tanguay said. "We're no way sure of a playoff spot, so we have to keep battling."
Khabibulin, the Blackhawks' No. 1 goalie and highest-paid player, dressed after missing 12 games due to back spasms.
Aucoin opened the scoring 1:51 in with a power-play goal on the Flames' first shot. His drive from the top of the slot was screened by Nolan and clanked in off the right post.
Toews tied it at 10:25 on Chicago's first shot, fooling Kiprusoff from the left circle with a low drive.
Iginla converted a breakaway 1:13 in to give Calgary a 2-1 lead after picking off defenseman Brent Seabrook's pass at center ice. Huselius made it a two-goal edge at 4:54.
Phaneuf extended Calgary's lead to 4-1 with 6:13 left in the second on a low shot from the right circle.
Lang tucked in a rebound of Dustin Byfuglien's shot at a 4:41 of the third to cut the Blackhawks' deficit to 4-2.
|Flames netminder Miikka Kiprusoff stumps the Blackhawks with 34 saves. (AP)|
|Calgary (37-25-10) «||1||3||0||4|
Save Pct.: .944
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|01:51||Power Play - Adrian Aucoin (9), Slap Shot. Assist: Alex Tanguay, Owen Nolan|
|10:25||Power Play - Jonathan Toews (20), Wrist Shot. Assist: Patrick Kane, Jason Williams|
|01:13||Jarome Iginla (44), Wrist Shot, Unassisted.|
|04:54||Kristian Huselius (24), Wrist Shot. Assist: Owen Nolan, Robyn Regehr|
|13:47||Dion Phaneuf (15), Wrist Shot. Assist: Alex Tanguay|
|04:41||Robert Lang (20), Wrist Shot. Assist: Dustin Byfuglien, James Wisniewski|
|01:18||Keith, 2 min, Hooking|
|03:10||Burish, 5 min, Fighting|
|03:10||Nystrom, 5 min, Fighting|
|09:59||Nolan, 2 min, Hooking|
|06:44||Iginla, 2 min, Holding|
|14:40||Hendry, 2 min, Hooking|
|18:23||Eriksson, 2 min, Hooking|
|05:15||Primeau, 2 min, Slashing|
|13:09||Vandermeer, 2 min, Interference|
|16:39||Tanguay, 2 min, Hooking|
|19:16||Bourque, 2 min, Bench - Too Many Men on the Ice|
|Shots On Goal|
|Power Play Conversions|
|Attendance - 20717|
|Referees - Paul Devorski, Dan O'Rourke|
|Linesmen - Don Henderson, Dan Schachte|