Colorado Springs, Co. ? The leader of the 30 million-member National Association of Evangelicals, a vocal opponent of same-sex marriage, resigned Thursday after being accused of paying for sex with a man in monthly trysts during the last three years.

The Rev. 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.

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,” 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.

The Rev. Ted Haggard

Mike Jones, 49, of Denver said he decided to go public with his allegations because of the political fight. Jones, who said he is gay, said he was upset when he discovered Haggard and the New Life Church had publicly opposed same-sex marriage.

“It made me angry that here’s someone preaching about gay marriage and going behind the scenes having gay sex,” said Jones, who added that he isn’t working for any political group.

Jones, whose allegations were first aired on KHOW-AM radio in Denver, claimed Haggard paid him to have sex nearly every month for three years. Jones also said Haggard snorted methamphetamine before their sexual encounters to heighten his experience.

Haggard and his attorney, Martin Nussbaum, did not return calls Thursday night.

Jones said he had advertised himself as an escort on the Internet and that a man who called himself Art contacted him. Jones said he later saw the man on television identified as Haggard.

He said that he last had sex with Haggard in August and that he did not warn him before making his allegations this week.

Jones said he has voice mail messages from Haggard, as well as an envelope he said Haggard used to mail him cash, though he declined to make any of it available to the media.

“There’s some stuff on there (the voice mails) that’s pretty damning,” he said.

After Massachusetts legalized gay marriage in 2004, Haggard and others began organizing state-by-state opposition. Last year, Haggard and officials from the nearby Christian ministry Focus on the Family announced plans to push Colorado’s gay marriage ban for the 2006 ballot.