Officers have received “several calls” relating to children going onto frozen water this winter.
The warning comes after a 12-year-old boy plunged into a frozen pond when the ice cracked.
The child was one of many on the surface at Glasgow's Queen's Park when the incident took place on Tuesday afternoon.
He escaped the ordeal unharmed and did not require medical attention. Groups of skaters had to be escorted off the ice by emergency service teams.
Officers are calling on parents to keep young ones clear of open water areas during the cold spell.
A tweet posted by Falkirk Police states: “Several calls about children going onto frozen ponds and canals across the area.
“Going onto frozen water is extremely dangerous. You can’t tell how thick the ice is.
“Please stay safe near water this winter and don’t put yourself, your children or your pets at risk.”