In a statement, Paul spokeswoman Kelsey Cooper said the Republican senator was "fine".
According to the Daily Caller, records with Kentucky State Board of Election show the alleged assailant, Rene Boucher, is a registered Democrat.
The newspaper reported the attack happened at Paul's Bowling Green home at 3:21 p.m. Friday. The incident took place at Paul's home in Warren County.
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Boucher has been charged with one count of assault in the fourth degree.
He was held on a $5,000 bond.
Kentucky State Police Master Trooper Jeremy Hodges said he could not release details of the assault because of security issues.
An ophthalmologist, he represents Kentucky in the US Senate and is the son of former Congressman Ron Paul, who ran for president several times.
An investigation continues, police said.