Officers responding to reports of shots found several bodies in and around a residential building in Wuerenlingen, a community of roughly 4,500 people north-west of Zurich, police said in a statement.
All those killed were adults and an investigation is under way, the statement said.
It gave no further details and a police spokesperson declined to say how many people had been killed.
Police said they planned to hold a news conference on Sunday afternoon.
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