The 26-year-old forward had 33 goals and 31 assists last season, both career bests. In 2016-17 he had 47 points and was a league best plus-34.
Zucker was taken in the second round of the 2010 draft and made his NHL debut in the 2011-12 season as a 20-year-old.
Zucker was coming off a two-year deal that paid him $2 million per season. In his new deal, he gets $5 million in 2018-19, $6.25 million in 2019-20, $4.8 million in 2020-21, $6.25 million in 2021-22 and $5.2 million in 2022-23.
The Wild also secured another building block this offseason, signing defenseman Mathew Dumba, 24, to a five-year, $30 million contract.