Sen. Rand Paul (R-Ky.) said Monday that the U.S. Capitol Police have arrested a man who allegedly threatened to kill the senator and his family with an ax.

"Thank you to the US Capitol Police for their arrest of the man who recently threatened to kill my family and me," Paul tweeted.

The message came shortly after Paul told reporters at an event in Litchfield, Ky., that police had issued an arrest warrant for the man.

"This man had threatened to kill me and chop up my family with an ax. It's just horrendous that we're having to deal with things like this," Paul said.

The Louisville Courier-Journal reported that the man called in threats to Paul's Bowling Green, Ky., office.

Paul last week filed a civil suit against his neighbor, who assaulted the senator in his yard last November.

The neighbor, Rene Boucher, maintains he assaulted Paul after the senator repeatedly placed yard debris near their property line. He pleaded guilty to assaulting a member of Congress, and was sentenced earlier this month to 30 days in jail and a $10,000 fine.

Paul has suggested Boucher's actions may have been politically motivated, a charge Boucher denies.