Sgt Kim Montes of the Florida Highway Patrol said Woods' lawyer did not reschedule the meeting.
In a statement posted online about an hour before he was due to be interviewed, Woods said: "My wife, Elin, acted courageously when she saw I was hurt and in trouble. She was the first person to help me. Any other assertion is absolutely false.
"This incident has been stressful and very difficult for Elin, our family and me. I appreciate all the concern and well wishes that we have received.
"But, I would also ask for some understanding that my family and I deserve some privacy no matter how intrusive some people can be."
On Sunday authorities released a recording of a 911 emergency call made by the golfer's neighbour after the incident.
In a shaken voice, he says: "I need an ambulance immediately. I have someone down in front of my house. They hit a pole."
Woods, who has been married for five years and has two young children, has recently been the subject of tabloid allegations about his private life.
Asked about reports the couple had been arguing in the hours leading up to the crash, the police said they were treating the incident as a traffic accident, not a domestic issue.
According to the highway patrol, alcohol was not a factor in the incident.
Woods has been at the top of the profession for many years
Chief Daniel Saylor of the Windermere Police Department said: "From what we understand, his wife came out of the house when she heard the accident, him hitting the fire hydrant, (and) used a golf club - that's what we were told - to break out the rear window to gain entrance into the vehicle, removed him from the vehicle and laid him down in the street.
"He was in and out of consciousness with lacerations to his upper and lower lip, with a little bit of blood in his mouth, but he was conscious enough to be able to speak a little bit. According to my officers, it was not life-threatening injuries."
In comments to the Associated Press news agency, Chief Saylor said his officers found the 33-year-old lying in the street with his wife hovering over him.
"She was frantic, upset. It was her husband laying on the ground."
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