The case was referred to the FBI in Michigan and authorities are awaiting DNA results to determine if the man's claim is true, Smith said. Authorities didn't release the man's identity.
Sandra Berchtold, a spokeswoman for the FBI in Detroit, declined to comment on Damman's case Tuesday.
Jerry Damman, the father of Steven Damman, said "it's very possible" that the man could be his son.
"To a certain extent this would probably close it," said Damman, who lives on a farm near Newton, Iowa, about 30 miles east of Des Moines.
Steven Damman was 2 when his mother, whose husband worked on a military base, left him and his younger sister waiting outside a bakery while she went inside to shop in 1955, Smith said.
"Back in that time, it was probably not that uncommon to do something like that," Smith said.
Damman's mother left the bakery and found the stroller and both her children missing, Smith said. The stroller, with only her infant daughter inside, was found a short time later, Smith said.
Thousands of police and firefighters searched for Steven, but he was never found, Smith said. None of the investigators on the original case are still with the department, he said.
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