Dukurs has been in formidable form this season and posted the fastest time in both runs to wrap up his fourth victory of the season in a combined time of 1 minute 46.14 seconds.
Second was Germany's Frank Rommel, 0.25 seconds off the pace, to consolidate his overall silver medal with 1466, 228 behind Dukurs.
Russia's Alexander Tretiakov posted the second fastest second run but was forced to make do with bronze, 0.1 seconds behind Rommel.
Despite his seventh-place finish in Igls, Germany's Sandro Stielicke still clung on to third place in the overall standings while Tomass Dukurs, Martins' older brother, was fourth.
Great Britain's Kristan Bromley brought an end to his World Cup season with an eight-place finish in Igls, good enough to end the campaign in sixth place.
Bromley, the 2008 world champion, achieved his best finish of the season with silver in St Moritz last time out but will now turn his attentions to the Winter Olympics in Vancouver next month.