When third-party candidates are included, Clinton leads by just two points, 46-44, with Libertarian Gary Johnson following at 7 percent.
In a CBS/YouGov poll that was also conducted after the debates and publication of Trump's offensive comments in a 2005 video, Clinton led in Nevada by six points, 46-40, with Johnson at 4 percent.
CNN/ORC has not previously polled Nevada voters on general election preference.
The CNN/ORC poll was conducted via live telephone interview from Oct. 10-15 among 698 likely Nevada voters and has a margin of error of plus or minus 3.5 percent.
TPM's PollTracker Average for the general election in Nevada shows Clinton leading Trump, 46.4 to 43.