Sen. Rand PaulRandal (Rand) Howard PaulRand Paul splits with Amash on Trump impeachment The Go-Go's rock the stage at annual 'We Write the Songs' DC concert GOP presses Trump to make a deal on spending MORE (Ky.) narrowly tops a packed group of potential GOP presidential candidates in a poll released Sunday.

According to a CNN-ORC poll, Paul brings in 16 percent of the vote among Republicans and Republican-leaning independents. He is narrowly trailed by Rep. Paul RyanPaul Davis RyanAmash storm hits Capitol Hill Debate with Donald Trump? Just say no Ex-Trump adviser says GOP needs a better health-care message for 2020 MORE (Wis.) with 15 percent and Texas Gov. Rick PerryJames (Rick) Richard PerryThe Hill's Morning Report - Trump says no legislation until Dems end probes Another VPOTUS tries for POTUS: What does history tell us? House Dems propose billions in extra funding for environmental programs that Trump sought to cut MORE with 11 percent, both inside the margin of error. 

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Paul has been coming off an impressive showing at the Conservative Political Action Conference earlier this month, where he won the CPAC straw poll for the second year in a row. He topped another straw poll on Saturday in New Hampshire at the Northeast Republican Leadership Conference. 

Former Arkansas Gov. Mike Huckabee brought in 10 percent in the new poll, while Florida Gov. Jeb Bush scored 9 percent. Sen. Ted CruzRafael (Ted) Edward CruzJim Carrey fires back at 'Joe McCarthy wanna-be' Cruz Hillicon Valley: Google delays cutting off Huawei | GOP senators split over breaking up big tech | Report finds DNC lagging behind RNC on cybersecurity GOP senators split over antitrust remedies for big tech MORE (Texas) and New Jersey Gov. Chris Christie each had 8 percent. 

Polling in the GOP primary has consistently shown a tight pack, while former Secretary of State Hillary Clinton has dominated polls for the Democratic nomination. 

She leads Democrats with 63 percent of the vote compared to Vice President Biden's 13 percent, according to the poll. 

The poll surveyed 367 people affiliated with the Republican party and 372 people aligned with the Democratic Party. It contains a 5-percentage-point margin of error.