Kiprusoff started for the 26th time in Calgary's 27 games - including 12 consecutive - and led the Flames to their fifth win in six.
Iginla and Moss also scored in the third period of Calgary's 4-3 comeback overtime victory at St. Louis on Friday that started a four-game road trip.
Rene Bourque scored a short-handed goal with 2:00 left to make it 3-0.
The Rangers lost their third in four games, including a pair of home shutout losses - their only two regulation blankings this season. New York has been outscored 15-4 in that span and hasn't won in regulation since topping Phoenix at home on Nov. 24.
Lauri Korpikoski nearly scored with 7:40 left, but Kiprusoff kicked out his drive. The Rangers' best chance came in the opening minute when Ryan Callahan's redirect was stopped at the doorstep, leading to the first of four failed power plays.
New York is 3-for-30 on the power play in its last eight games and has allowed an NHL-worst eight short-handed goals. Calgary has killed 26 of its last 28 short-handed situations over nine games - allowing both goals to St. Louis on Friday.
Iginla gave the Flames a 1-0 lead with 4:10 left in the second period, a frame in which Calgary was outshot 12-2. Dion Phaneuf, who heard derisive chants from Rangers fans still partial to departed forward Sean Avery, called for the puck and fired a shot that Lundqvist blocked.
The rebound found its way into the slot, and Michael Cammalleri pushed the puck to Iginla near the right post. The Calgary captain calmly swept in his 14th goal with a smooth backhander. Iginla has scored in consecutive games after going three without a goal.
Avery was suspended six games by the NHL earlier in the week after making crude comments in Calgary directed toward Phaneuf, who is now dating Avery's former girlfriend, actress Elisha Cuthbert.
Less than a minute after Iginla's goal, the Rangers thought they tied it but Colton Orr's deflection struck the goal post. The loose puck was shoved out of the crease by Flames forward Daymond Langkow as Orr, the New York enforcer who hasn't scored in 82 games, raised his arms in a premature celebration.
Moss doubled the lead when after a Rangers turnover he deflected Todd Bertuzzi's flip toward the net off both goal posts and in at 1:52 of the third.
