Police were called to the 7100 block of Waverly Avenue on reports of a stabbing about 10:30 a.m. July 6.
They found a woman in her 40s dead from an apparent stabbing wound inside a residence at that location, according to a police spokesman.
Officers located a person of interest about a block away; the man, in his 40s, was taken to the criminal investigations unit for questioning, the spokesman said.
The identity of the woman is being withheld pending positive identification and notification of the family.
Police are asking anyone with information to call the TIPS hotline at 816-474-TIPS.