Budensiek said the crash happened after Woods allegedly attempted to overtake a pressure cleaner truck at a “high rate of speed”.
DUI investigators came to the scene and “Mr Woods did exemplify signs of impairment”, Budensiek said.
“They did several tests on him,” Budensiek said. “He did explain the injuries and surgeries that he’s had and we did take that into account, but they did some in-depth roadside tests.”
Woods was placed under arrest after the incident, which took place on Beach Road just before 14:00 local time (19:00 GMT).
Budensiek said investigators at the scene and at jail were “really not suspicious of alcohol being involved” and Woods passed a breathalyser test with “triple zeros”.
Budensiek said Woods was “co-operative but was trying not to incriminate himself”.
“He has a right to refuse that test,” Budensiek said.
“There is a statute which he will be charged with for refusing to take that test, but we will never get definitive results as to what he was impaired on at the time of the crash.”
US President Donald Trump said: “I feel so badly. He has got some difficulty. There was an accident. That’s all I know.
“He’s a very close friend of mine. He’s an amazing person – an amazing man.”
The charges against Woods are misdemeanours, not felonies.
The BBC has contacted his representatives for comment.
