HPD said the shooting happened at the complex in 10300 block of Lands End Drive, where at least 20 shots were fired into one of the units, hitting and killing one man.
Detective Ana Hernandez told ABC13 that the victim, who has only been described as a 20-year-old man, was inside the unit at the time shots were fired.
HPD said it all of the shooters were positioned outside of the apartment.
"This does look targeted to that one unit," Hernandez said.
No suspects have been formally identified in this case, but HPD says they do want to speak with five to six "people of interest" who could have information on the shooting.