The 26-year-old defenseman from North Bellmore, who played two years with the Rangers, has agreed to a one-year deal with Tampa, according to the Lightning.
At last week's draft in Minnesota, Rangers general manager Glen Sather said Gilroy, a restricted free agent, had not been given a qualifying offer, which would have been worth $2.1 million, based on his salary last season. Sather said Gilroy wanted to test the market "to see what's out there."
Gilroy, a Boston University grad, was 4-11-15 in 69 games in 2009-10, and 3-8-11 in 58 games last season, but coach John Tortorella said he had improved in the last quarter of the season. But the June trade for Swedish defensman Tim Erixon appeared to make Gilroy's decision easier.