Story highlights Hillary Clinton leads Donald Trump by three percentage points, a Fox News poll shows

Libertarian Gary Johnson is in double digits at 12%

Washington (CNN) Hillary Clinton leads Donald Trump among registered voters nationally, and Libertarian Gary Johnson gets into double digits, in a Fox News poll out Thursday.

Clinton has 39% support to Trump's 36%, with Johnson pulling 12% backing, according to the survey of 1,004 registered voters, which was conducted June 5-8.

With Johnson dropped from consideration, Clinton's lead remains three percentage points -- 42% to Trump's 39% -- the poll found.

Both candidates are viewed negatively by large chunks of the electorate.

Clinton's favorability rating is 42%, compared to an unfavorability rating of 56%. Trump is viewed favorably by 40% of the voters surveyed, while 58% view him unfavorably.

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