Verweij finished the race in 1 minute, 45.69 seconds, 0.23 seconds ahead of Poland's Konrad Niedzwiedzki in second. Zbigniew Brodka, also of Poland, finished third, 0.26 seconds behind.
Earlier Sunday, Wust easily won the women's 1,500-meter event in another convincing demonstration ahead of next month's Olympics in Sochi, clocking 1 minute, 54.87 seconds.
Russia's Yuliya Skokova was second, 2.15 seconds behind, and Yvonne Nauta of the Netherlands finished third, 2.41 seconds back.
The 27-year-old Wust also won the 500-meter and 3,000-meter events on Saturday.