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 (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 RyanRepublicans are avoiding gun talks as election looms The Hill's 12:30 Report Flake to try to force vote on DACA stopgap plan MORE (Wis.) with 15 percent and Texas Gov. Rick PerryJames (Rick) Richard PerryTrump, Pence to address CPAC this week Overnight Energy: EPA penalties for polluters cut in half under Trump | Court orders regulators to implement Obama efficiency rules | Sully weighs in on Pruitt's first-class travel Energy Department to invest .5M in projects aiming to improve the performance of coal MORE with 11 percent, both inside the margin of error. 

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 CruzOvernight Health Care: Trump eases rules on insurance outside ObamaCare | HHS office on religious rights gets 300 complaints in a month | GOP chair eyes opioid bill vote by Memorial Day HHS official put on leave amid probe into social media posts Trump, Pence to address CPAC this week 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.