Yodani Cruz-Rojas, 29, was killed in a flurry of gunshots from Noel Sosa-Ruiz, 41, with whom police say she was "in a relationship," as she worked her job in the 6000 block of Bissonnet about 6 p.m.
Witnesses said the two, who had two children together, "had been arguing throughout the day."
Sosa-Ruiz is on the run. HPD says he is a security guard with a concealed handgun license.
"Sosa-Ruiz drives a silver minivan, possibly a Dodge Caravan, with unknown Florida license plates. He also drives a white Toyota, unknown model, with partial Texas license plates RZ2 or RZZ," police say.
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Anyone with information on the whereabouts of Noel Sosa-Ruiz is urged to contact the HPD Homicide Division at 713-308-3600 or Crime Stoppers at 713-222-TIPS.