The Lincoln man's 3-year-old and 8-month-old were strapped in their car seats.
Lincoln police say the father of a 3-year-old and 8-month-old reported fighting off a man who was trying to kidnap them.
The man told police he had put the children in their car seats about 12:30 p.m. Wednesday while his sport utility sat in his driveway.
He says he went back inside to get a stroller. Capt. Jim Davidsaver says that when the man went back outside, he heard the 3-year-old screaming and saw a man inside the SUV.
Davidsaver says the father struggled with the man and punched him in the face. Then the man got on a bicycle and raced away.
No arrest has been reported.