Chapel owner Shawn Absher says the couple wed about 10 p.m. after arriving at the hotel from the Clark County marriage bureau in a chapel-owned limousine.
County marriage records in Las Vegas show the 42-year-old Tyson and 32-year-old Spicer got a marriage license about 30 minutes before their ceremony.
Tyson's daughter Exodus died in May. The girl suffocated after she either slipped or put her head in the loop of a cord hanging under a treadmill's console in her Phoenix home. Tyson's agent, Harlan Werner, told the AP that Spicer is not Exodus' mother.
Tyson and Spicer, a resident of suburban Henderson, asked for a simple ceremony with nothing special, Absher said.
"They just wanted to say the vows and be married," he said. "It was very sincere."
Tyson was previously married to actress Robin Givens in 1988 and Monica Turner in 1997.
His first marriage ended after one year after Givens filed for divorce and said in a nationally televised interview that she was afraid of Tyson. His marriage to Turner lasted five years.
Tyson and Spicer seemed very in love, Absher said.
"They were very heartwarming, and I think they really do love each other. "He seemed happy -- and his life's been up and down."
Tyson last boxed competitively in 2005.
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