Officers were called after a woman was attacked by an unknown male on Wednesday, April 28, at around 7pm.
A crime scene was established in Orchards Playing Field off Goodmayes Lane and the woman continues to be supported by specialist officers.
Two weeks later, police were called on Tuesday, May 13 by a woman who reported that a man had exposed himself to her between 8-9pm in Goodmayes Park.
On both occasions, the man is described as white with short dark hair and stubble.
Detectives say they have carried out extensive enquiries, and have released CCTV images to assist in their investigation.
The CCTV image from April shows a man wearing either a dark/blue jacket with red sleeves or a gilet over a red top; the bottom of the jacket has a distinct band, which is white, red and blue.
He was also wearing dark-coloured trousers and carrying a rucksack.
Detectives from the East Area Command Unit, which covers Redbridge, are investigating and are looking to speak with anyone who has information about either incident.
Detective Constable Chris Maxim, said: “Whilst we cannot say for certain that it is the same man in both images, his physical description is the same, and the items of clothing are clearly very similar.
“We are working closely with our partners, including the local authority, and I would urge anyone who can help our investigations to come forward and speak with us. Please take a look at these images - it is vital that we catch whoever is responsible.”
There have been no arrests and enquiries continue.
Anyone with information is asked to contact police on 101 or tweet @MetCC and quote CAD 6760/28Apr or Cad 8257/13May.