Several reports have been received about a young man who indecently exposed himself on the footbridge near the old Golden Manor School and the Mill Pond areas in Pembroke.
One of these incidents occurred on Monday, between 9.30am and 10am.
The person, possibly a teenager, was wearing dark coloured trousers and a hooded top, which was dark at the bottom with the colour changing to light on the hood area.
Police are anxious to trace any witnesses, or talk to people who experienced a similar incident and who may not have reported it.
They also want anyone who may have an idea about the person's identity to contact Pembroke Dock Police Station on 01646 682121.
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