Police in a Phoenix suburb are looking for a father suspected of using his car to run over his daughter because she was becoming too "westernised" and was not living according to their traditional Iraqi values.

US police say 48-year-old Faleh Hassan Almaleki of Glendale allegedly ran his daughter over on Tuesday at an Arizona Department of Economic Security parking lot in Peoria.

The victim, 20-year-old Noor Faleh Almaleki of Surprise, remains in hospital with life-threatening injuries.

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A second woman, 43-year-old Amal Edan Khalaf suffered non-life threatening injuries. Police say the women are roommates.

AP