Sixty-six percent of Kentucky voters oppose changing a state law to allow Sen. Rand PaulRandal (Rand) Howard PaulDem wins Kentucky state House seat in district Trump won by 49 points GOP's tax reform bait-and-switch will widen inequality Pentagon budget euphoria could be short-lived MORE (R-Ky.) to run for president and reelection to the Senate at the same time, according to a new poll. 

The Survey USA poll released Monday night found only 27 percent of voters believe the law should be changed to give Paul the opportunity to run for both offices simultaneously. 

Majorities of each party are opposed to the change, including 54 percent of Republicans, 57 percent of independents and 78 percent of Democrats. 

The current law, which says a candidate’s name cannot appear on the ballot more than once, has been challenged by Republicans in the state Legislature and Paul's camp. 

Republicans in the state Senate unsuccessfully attempted to change the law earlier this year. And aides to Paul have said the law would not hold up to constitutional scrutiny. 

Thirty-three percent of voters think Paul should not run for any office in 2016. Another 22 percent believe he should run for president, and 24 percent think he should run for the Senate. Another 15 percent think he should run for both. 

Appearing on the ballot twice would allow Paul to run for reelection and retain his post in the Senate if he is unsuccessful in a potential presidential campaign. Other Republicans, including Sen. Marco Rubio (R-Fla.), have ruled out running for president and reelection at the same time. 

Paul's favorable rating in the state stands at 39 percent; 32 percent have an unfavorable view of him. Another 24 percent are neutral. 

Among Republicans, 61 percent have a favorable view of him. Twelve percent have an unfavorable view, and 23 percent are neutral. 

The poll was conducted for The Courier-Journal, the Lexington Herald Leader and two television stations in the state. It surveyed 647 registered voters from Aug. 25 to 27 and has a 3.9 percent margin of error.