Milwaukee police spokeswoman Anna Schwarz said the department is investigating the threats alongside the state Justice Department's criminal investigation division.
"People can not assume anonymity via social media while they are issuing a threat to another's safety or life," Schwartz said in a statement.
Twitchy.com chronicled more than two dozen threats made on Twitter against the Republican governor and his family. Among them: "Scott walker will die within the next week ive already payed for the hit" and "If I ever see anybody of the Walker family on the street, ima pop they ass."
According to TMJ-TV, a Walker spokesman said the governor is aware of the threats and has a security detail. His schedule will not deviate as a result of the postings.