COLORADO SPRINGS, Colo. — The leader of the 30 million-member National Association of Evangelicals, a vocal opponent of same-sex marriage, resigned yesterday after being accused of paying for sex with a man in monthly trysts over the past three years.

The Reverend Ted Haggard, a married father of five who has been called one of the most influential evangelical Christians in the nation, denied the allegations. His accuser refused to share voice mails that he said backed up his claim.

Rev. Haggard also stepped aside as head of his 14,000-member New Life Church while a church panel investigates, saying he could “not continue to minister under the cloud created by the accusations.”

“I am voluntarily stepping aside from leadership so that the overseer process can be allowed to proceed with integrity,” Rev. Haggard said in a written statement. “I hope to be able to discuss this matter in more detail at a later date.”

He also told KUSA-TV late Wednesday: “Never had a gay relationship with anybody, and I’m steady with my wife, I’m faithful to my wife.”

The allegations come as voters in Colorado and seven other states get ready to decide Tuesday on amendments banning gay marriage. Besides the proposed ban on the Colorado ballot, a separate measure would establish the legality of domestic partnerships providing same-sex couples with many of the rights of married couples.