Valley County Sheriff's Office spokeswoman Samar Fay said she did not know when the man was shot, or who may have been responsible.
"The sheriff declined to elaborate on the events, pending an investigation," she said.
At least 50 federal and local agents using tracker dogs tracked down the suspect to the house just south of town late Saturday, Fay said.
The man was suspected of having shot a woman outside Frances Mahon Deaconess Hospital late Saturday afternoon. He also allegedly fired on two people who came to assist her. Those victims were in stable condition, hospital spokesman Nickolas Dirkes said.
Glasgow is a community of about 3,100 residents in northeastern Montana.
During the manhunt, the hospital and a basketball game at the high school gym were locked down, and all roads into the town were blockaded for about five hours.
People were told to stay at home and lock their doors.
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