Leto, 42, who won best supporting actor in motion picture at the gala, posted a photograph of himself clasping Swift's waist on photo sharing website Instagram, reports radaronline.com.
"Me. Taylor Swift. Golden Globes. xo," he captioned the photograph.
But, the actor received negative remarks from his fans, with some posting: "Get away from that b***h!" and "Please tell me you punched her in the face afterwards", among other harsh remarks.