The song, titled 'No Floods', has been available online since 2009, but the New York-born singer tweeted a link to the track following the impact of former hurricane Sandy on her home city.
"i wrote this song when i was 16. so weird to hear it now because of hurricane, (sic)" she posted. "'NO FLOODS' hope this will cheer u up."
GaGa has been tweeting her support for residents affected by the storm throughout the week. She told fans that many of her family remained in New York City during the gale force winds and heavy rain and even joked that thanks to the name of the cyclone she would "never watch Grease again".
"i know its gonna be ok, but that water flooding downtown while my friends are sitting in the dark is making me sad," she said. "i love you new york.
"i'll be there as soon as i can to help my old neighborhood. I'm on tour + can't let my fans down. I want to help with my hands with all of u."
Earlier this week, GaGa wrote an open letter expressing her devastation at the damage caused by the storm.
On Friday (November 2), NBC aired a telethon - Hurricane Sandy: Coming Together - which featured musical guests including Christina Aguilera, Jon Bon Jovi and Bruce Springsteen. According to the network, the fundraiser has so far generated over $23m (£14.4m) for The American Red Cross, which is working to help victims of the disaster.