The Houston Police Department said officers were called to the complex on Northpoint near Northchase around 9:30 p.m. Sunday.
At the scene, police said they found a 26-year-old man who had been shot multiple times.
HPD said he told officers he was shot in a drive-by, but police said the story doesn't entirely add up.
According to officers, a blood trail led them to an apartment where they discovered bullets and drugs.
So far, no one is in custody.