The win extends the Whitecaps lead to three games over Dayton in the Midwest League Eastern Division after the Dragons lost 8-6 to Fort Wayne on Friday.
Drew Longley drove in the only run of the game.
The Whitecaps now have a league-leading 12 shutouts this season.
Pitcher Greg Soto tossed seven shutout innings while striking out four to improve his record to 6-0. Jason Foley struck out two batters in a scoreless ninth to earn his fifth save of the season.
The Whitecaps improved to 37-17, while Lansing fell to 29-23.
The Whitecaps will continue their home series against Lansing Saturday and Sunday.