The bodies were found around 9:30 a.m. Monday at 6922 Peyton Street near Homestead Road.
Police say the fiancé of one of the victims left the home to go to work around 7 p.m. the night before. When he returned, he found the bodies near the door.
Det. Nina Sharp told ABC13 one of the victims lived at the home and the other was a close friend who was visiting. Sharp said both victims appear to be in their 40s or late 50s.
According to investigators, a male relative may have been with the women when they were stabbed.
Detectives are searching for a person of interest, who is believed to be driving a silver 2017 Toyota Camry with Texas license plates LWH-3931.
OurHomicide investigators and PIO are at 6900 block of Peyton where two females were found deceased in a residence about 930 a.m. Both appear to have been stabbed. Homicide investigator will brief media at the scene at 12:45 p.m. Staging area is Peyton and Camway. #Hounews pic.twitter.com/3QErb3dLKf— Houston Police (@houstonpolice) December 30, 2019
Investigators are asking anyone with information to call the HPD Homicide Division or Crime Stoppers at (713) 222-TIPS (8477).
"If they know anything, please, give us a call," said Sharp. "Just help us so we can find out what happened. We've got two grieving families right now."