GOP presidential front-runner Donald TrumpDonald TrumpEx-Trump lawyer Cohen to pen forward for impeachment book Murkowski says it would be 'appropriate' to bar Trump from holding office again Man known as 'QAnon Shaman' asks Trump for pardon after storming Capitol MORE enjoys a comfortable leads in the early-voting states of New Hampshire and South Carolina, according to a CBS News Battleground Tracker poll released Sunday morning that also shows Ted CruzRafael (Ted) Edward CruzMcConnell about to school Trump on political power for the last time Trump impeachment ignites GOP civil war GOP lawmaker gives up honorary college degree in wake of Electoral College vote MORE holding the top spot in Iowa.

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Trump has 32 percent support in New Hampshire, followed by Cruz, with 14 percent, Marco Rubio, with 13 percent and New Jersey Gov. Chris Christie, with 11 percent. 

Christie had just 5 percent support in the Granite State last month, CBS noted.

Trump also holds a 15-point lead over Cruz in South Carolina, according to the poll.

Cruz holds a 9-point lead over Trump in Iowa, 40 percent to 31 percent, pollsters found. Rubio lands in third place, with 12 percent. Evangelicals have boosted Cruz, the network said, as have former backers of Ben Carson, who has slipped to fourth place in Iowa, with 6 percent.

Cruz easily tops Trump among respondents in Iowa who say “faith and religion” matters more than terrorism and the economy, CBS added. 

Among the Democratic presidential field, front-runner Hillary Clinton maintains her hold on the top spot by 5 points in Iowa and 36 points in South Carolina; Bernie Sanders leads by 14 points in New Hampshire.

YouGov, an online polling firm, conducted a total of 3,812 interviews between Dec. 13 and 17. The results have a 5.7 percentage point margin of error in New Hampshire, a 5.3-point margin in Iowa and a 5-point margin in South Carolina.

Updated at 3:19 p.m.