The Olympic 500m champion was fourth in the final race of the season as the Dutch team locked out the podium places.
Jan Smeekens, the reigning world champion, took gold in 34.83, with Dai Dai Ntab second in 34.94 and Saturday's winner Hein Otterspeer in third place.
However, Lorentzen's fourth place was enough to seize the 500m World Cup with 716 points, with Otterspeer in second with 568 and Ronald Mulder third with 556.
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Lorentzen had already wrapped up the overall World Cup title to became the first Norwegian skater to do so since the inauguration of the Grand World Cup in the 2011/12 season.
Lorentzen's compatriot Sverre Lunde Pedersen won the 1500m and the Norwegian men also took gold in the Team Sprint event, while Dutchman Simon Schouten finished first in the final mass start to conclude the season in Minsk.
Despite Pedersen upsetting the odds in the 1500m, Russia's Denis Yuskov still claimed the World Cup title in the distance.
Yuskov, who finished 0.17 seconds behind Pedersen, had won all four 1500m World Cup races he had started this season before the shock result on Sunday.
He took home the World Cup with 520 points, ahead of Pedersen on 385 and Dutchman Thomas Krol, who came fourth in 1:46.38, in third place with 320 points.
Meanwhile, Japan's Miho Takagi won the women's 1500m at the final in Minsk to conclude an immaculate season on Sunday.
Except for the Erfurt race in January, where she was absent, Takagi won all World Cup 1500m races this season to win the World Cup.
Austria's Vanessa Herzog claimed the women's 500m title by nine points with a second-place finish behind Russian Angelina Golikova.
Russia also took gold in the ladies' team sprint, while Ayano Sato took her second World Cup gold of the season in the mass start, with Francesca Lollobrigida securing the overall win with a bronze medal in the final race.
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