Police released few details about the assault or what led to the confrontation between Paul and the 59-year-old suspect arrested in the incident.
Police are still investigating the circumstances surrounding the alleged assault, CNN reports.
Boucher was taken to Warren County Detention Center.
State troopers arrived at 3:21 p.m. Friday at the Republican senator's home.
Wind advisory issued for Sunday
In this case, it rolls in overnight into Monday morning and it peaks at around 90 miles per hour at about 6000 feet. Winds of this strength can take down trees and subsequent power lines which means you should plan on power outages.
Kelsey Cooper, Paul's Kentucky communications director, issued a statement to the Daily News indicating that "Senator Paul is fine".
Boucher, of Bowling Green, was charged with fourth-degree assault with a minor injury and was being held at Warren County jail on $5,000 bond. It was not immediately clear what injury Paul suffered.
"Senator Paul was blindsided and the victim of assault", the spokeswoman told the paper.
The Republican "was blindsided and the victim of an assault" on Friday, a spokeswoman for him was quoted by USA media as saying.
As for the incident Friday, KSP stated in the release that no further details are available at this time.