Car and house windows were smashed and front doors vandalised in the Kinnaird Crescent area of the town on Saturday and Sunday night.
A Police Scotland spokesperson told the Milngavie & Bearsden Herald: “Officers are investigating reports of windows, doors and car windows being vandalised in the Kinnaird Crescent area of Bearsden over the weekend.
“The incidents happened around 8.55pm on Saturday, 4 June, and around 10.15pm on Sunday, 5 June."
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He added: “Our enquiries are ongoing to establish the full circumstances.”
No one is believed to have been injured as a result of the incidents.
Anyone who can help police find the culprits should call 101.