The officers were shot not far from Georgia Southwestern State University, a school in Americus, Ga., about 150 miles south of Atlanta, officials said.
Both officers were responding to a call about a domestic dispute at an apartment complex at about 9:30 a.m. Wednesday morning, said Americus Police Chief Mark A. Scott.
The two officers — one with the Americus Police Department, the other a public safety officer with the school — encountered a suspect outside the apartment complex and were shot there, Scott told reporters during a briefing.
The Americus officer was killed, while the university police officer was critically injured and flown to Macon, Ga., for treatment, he said. The university said on Thursday afternoon that their injured officer, Jody Smith, died from his injuries.
“There are no words to express the pain and the sorrow that we as a family here in Americus feel,” Scott said.
According to a law enforcement official who asked not to be identified discussing the shooting, Lembrick had been previously known to police. (Some reports had spelled his first name “Minguel” and “Minguell” on Wednesday.)
A search stretched on for more than a day as officials sought Lembrick, who police say they believe was acting alone during the incident.
On Thursday, the Georgia Bureau of Investigation confirmed that Lembrick had been found dead of what appeared to be a self-inflicted gunshow wound, a spokeswoman said.
The shooting comes in the waning weeks of 2016, a year that has been deadlier for law enforcement officers than 2015.
While the number of police officers fatally shot by suspects fell last year — and remains far below what it was in recent decades — that number has spiked again in 2016, fueled in part by a series of ambush attacks in cities like Dallas and Baton Rouge.
Through Tuesday, 62 officers had been shot and killed this year, up significantly from the 38 officers fatally shot at the same point last year.
While ambush killings have helped worsen that toll, many officers have been fatally wounded doing what can be considered routine police work — like responding to a domestic call or serving an eviction notice — and officers in Philadelphia, San Antonio and Miami Gardens, Fla., were sitting in their cars.
University officials, in a statement posted online Wednesday, had urged people to remain sheltered in place after the shooting until police officers released them from buildings. The school said there would be no classes on Thursday because Wednesday, the day of the shooting and lockdown, was the final day of finals for the fall semester.
This story, first published at 12:22 p.m. on Wednesday, has been updated on Thursday with news of Smith’s and Lembrick’s deaths.