Folashade Fashinas, 34 and her seven-year-old-daughter, Precious Sebastian have been missing from her home in Woolwich since Friday, 20 January.
Folashade is a black woman, 5ft 4ins tall, medium build with dark curly hair. Her daughter Precious is black, of slim build with dark hair.
Folashade is believed to be frequenting the Streatham and Croydon areas.
Anyone with information on their whereabouts should call police on 101 or Missing People on 116000.