An Illinois police officer shot three times on Saturday while investigating a break-in at a vacant structure remained in critical but stable condition on Sunday, officials said in a Facebook post.

Officer Tim Jones, 24, was shot in the jaw and neck Saturday morning and is hospitalized with life-threatening injuries.

Jones has been on the force less than a year.

The Cook County Medical Examiner's Office identified the man accused of shooting Jones as 21-year-old Thurman Reynolds of Park Forest, who was killed when officers returned fire. The gun Reynolds used had been reported stolen out of Texas, police said. A second gun was also found in his possession.

The Park Forest Police Department said Jones was in "excellent medical hands." He has already undergone emergency surgery for a gunshot wound to the head.

"A Park Forest Police Officer is with him and his family 24 hours a day," the Facebook post said. "That's the thing about this job: When tragedy strikes, it's not just a job, it's family.

"We are overwhelmed by the show of support from citizens far and wide and from law enforcement agencies across the country."

The Associated Press contributed to this report.