Singh filed the lawsuit in New York earlier on Wednesday, one week after the tour said it was dropping its case against him.
It said the World Anti-Doping Agency said two weeks ago it no longer considers the spray a banned substance except for a positive test.
The lawsuit says the tour had planned to suspend Singh for 90 days.
Singh says he wants to reclaim his reputation and hold the tour responsible for its "unwarranted effort" to suspend him.
One of Singh's attorneys, Jeffrey Rosenblum, says Singh was accused unjustly and that there should not be an asterisk next to the name of the four-time major champion.