A Brooklyn man accused of shooting an Italian tourist has been tied to the crime by DNA found on the gun used in the shooting and a blue Yankee cap he left behind, law-enforcement sources said yesterday.

Career criminal Tyron Lovick, 37, snatched a necklace worn by Eleonora Giuliani, 29, and then blasted Luciano Giuliani, 62, in the stomach after the brave father grabbed him on a Fort Greene Street in May 2012, prosecutors charge.

“The gun and the hat definitely match the defendant,” said the law-enforcement source. “It’s a solid case.”

Eleonora said she expected the DNA evidence to match up with Lovick.

“I’m very glad they found the DNA,” Eleonora said. “I hope he’s going to get a bigger sentence.”

Lovick, who has been charged with multiple counts of assault and robbery, has 12 prior arrests.