"Don't Do Me Like That" is a song written by Tom Petty and recorded by Tom Petty and the Heartbreakers. It was released in November 1979 as the first single from the album Damn the Torpedoes (1979). It reached number 10 on the Billboard Hot 100, becoming the band's only Top 10 hit. The single also peaked at number 3 in Canada. In the UK, despite airplay by Capital Radio in the summer of 1980, the track failed to make the Top 75 chart.

Thomas Earl Petty was an American singer, songwriter, and guitarist. He was the leader of the rock bands Tom Petty and the Heartbreakers and Mudcrutch and a member of the late 1980s supergroup the Traveling Wilburys. He was also a successful solo artist.