CPD said the man walked into a home in the 8330-block of South Luella Avenue just before 2 a.m. and shot the other man, who has not yet been identified, in the head.
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He then chased the woman to the 8200-block of South Paxton Avenue and hit her on the head with a blunt object, police said.
She died on the scene, and the medical examiner later identified her as 26-year-old Tamera Washington.
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Responding officers took the suspect into custody, but did not yet identify him.
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There were no other reported injuries, and Area Two detectives are investigating.
The incident appeared to be domestic-related.
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