Recent floods in the South have killed 30 people, including 20 in Tennessee.
According to The AP, repairs in the city are expected to cost more than $1m (£682,636).
"Being at home during the storm, I honestly could not believe what was happening to the city and the people I love so dearly," Swift said.
She added: "Nashville is my home, and the reason why I get to do what I love. I have always been proud to be a Nashvillian, but especially now, seeing the love that runs through this city when there are people in crisis."
