Munster police said officers responded to the 9300-block of Chestnut Lane around 9:45 p.m.
There, officers found a female who had been shot in the face. The victim, whose age was not immediately known, was taken to a local hospital for treatment.
The suspected shooter remained inside the home. Northwest Regional SWAT responded and negotiated with the suspect, who was taken into custody and transported to the Lake County Jail.
Police are investigating and said there is no threat to the public.
The Munster Police Department's Criminal Investigations Division asked anyone with information, including those who would like to remain anonymous, to call Detective Omar Padilla at 219-836-6692 or e-mail him at opadilla@munster.org.