West Mercia Police officers have received a number of reports around Blakedown, Clent and in areas along the border with the West Midlands and Staffordshire.
The latest incident is believed to have taken place in Broome Lane, in Blakedown, Wyre Forest, on Thursday, February 11, at around 3.30pm.
A man in his 20s from Kingswinford has since been arrested.
Sergeant Lisa Hornberger said: "We were called to the latest incident at Broome Lane on February 11, at around 3.30pm.
"A man in his 20s from Kingswinford has been arrested on suspicion of indecent exposure and public indecency and is in police custody.
“I would like to reassure our communities that we take these reports very seriously and we encourage any victims or witnesses to come forward and all reports are dealt with sensitively.
"If you have any information that can help in this investigation please contact PC Williams at Kidderminster Police station via 101 or online via our reporting page here."