David M. Rothenberg has sued Health Central for $400,000 in damages, reinstatement, and is asking for a letter from hospital officials explaining that he was fired based on circumstantial evidence.
Woods was treated at the facility after the crash outside his home in Windermere, Fla., Orlando's richest suburb.
Officials say they fired Rothenberg, a registered nurse, in December 2009 for using his computer to look at Woods' records three times over a 10-minute period. Rothenberg faces losing his nursing license because of the allegations.
In the lawsuit, he denies looking at the records.
The Orlando Sentinel reports that Woods used the aliases Ronald Williams and Ernest Smith during his stay at Health Central, according to the lawsuit.
Rothenberg offered to take a polygraph test and "swore on the life of his children" that he never looked at Woods' medical records, the Sentinel reports.