Laundrie, 23, has not been charged with the death of the 22-year-old travel blogger.
A grand jury in the U.S. District Court in Wyoming issued the warrant on Thursday. Investigators accuse Laundrie of spending $1,000 or more on Petito’s bank card between August 30 and September 1.
"While this warrant allows law enforcement to arrest Mr. Laundrie, the FBI and our partners across the country continue to investigate the facts and circumstances of Ms. Petito's homicide," FBI Denver Special Agent in Charge Michael Schneider said in a statement.
Intense media coverage of the couple began when Laundrie returned to his parent's house on September 1 without Petito. The pair had been blogging about their van travels around the U.S.. Petito’s mother, Nicole Schmidt reported her daughter missing 10 days later.
Petito’s body was discovered on September 19 near the Spread Creek Dispersed Campground in Bridger-Teton National Forest in western Wyoming and investigators have ruled her death as a homicide.
Laundrie left his parents home on Tuesday without his phone or wallet, and has not been seen or heard from since. Investigators have searched a 25,000-acre Florida nature reserve for Laundrie.
"We urge individuals with knowledge of Mr. Laundrie's involvement in this matter or his current whereabouts to contact the FBI,” Schneider said.