Investigators arrived to the 2900 block of Milam near Anita just before 5 a.m. and found the woman's body on the third floor inside the Pearl @ the Mix apartments.
They said the 32-year-old Hispanic woman did not have any obvious stab or gunshot wounds, but they are ruling her death as suspicious until they get autopsy results and interview witnesses.
Neighbors told police they heard screaming and arguing coming from the apartment, then observed someone leaving and coming back.
Investigators said there was forced entry, but it appears it was from someone who was trying to go inside to help the woman. Officers are talking to that person, but he is not listed as a suspect.
"We believe he was in argument with her and came back," Houston police detective Jerry Young said.
VIDEO: Residents of the apartment describe hearing the news about the death investigation