Police in Greenwich appealed for assistance to trace 35-year-old Peter Morley who was sought in connection with an incident where a woman was stabbed this morning, 10 September.
Peter Morley was arrested this evening on suspicion of attempted murder and remains in custody at a south London police station.
Police were called at around 09:30am on Monday, 10 September to reports of a stabbing at Previous Anglesea Road, Woolwich.
Officers attended. At the scene a woman, believed in her 30s, was found suffering from a number of stab wounds to her back.
The injured woman was taken by air ambulance to a central London hospital where her condition is not life threatening.