A man unzipped his trousers and flashed two 11-year-old girls in Bradwell Common last week.
He then ran off towards a silver saloon car parked on the boulevard and drove off.
It happened at around 2.30pm on Wednesday.
The offender was a white man, aged between 25 and 30 years old, around 5ft10ins tall of a skinny build, with shaven ginger hair and a bald spot on the right side.
He wore grey suit trousers, a baby blue long sleeved shirt with top button undone and no tie, brown shoes and he carried a black briefcase with gold clasps on one side.
It follows an incident on Saturday, August 9 when a man who exposed himself in a park in Caldecotte had been seen walking around wearing only his socks, shoes and underwear earlier in the day.
Police are appealing to anyone who has any information regarding the first incident or may have seen the man in the area to please get in contact with PC Tom Kelly by calling 101.
If you don’t want to speak directly to the police you can contact Crimestoppers anonymously on 0800 555 111 or online at www.crimestoppers-uk.org.
No personal details are taken, information is not traced or recorded and you will not go to court.