No makeup date was announced.
Five of the first eight hitters reached safely against Brewers starter Yovani Gallardo, with Rasmus' shot putting the Cardinals ahead 2-0 in the second. Play was halted with one out in the inning and a man on first.
Cardinals starter Kyle Lohse allowed one hit in two innings.
The Brewers and Cardinals, both 21-14, entered their first series of the season tied for the NL Central lead.