The incident happened on a frozen section of the canal in Wester Hailes at around 8pm on Monday night.
The boy was unhurt, but there have been a number of similar reports of children playing on the ice in the surrounding areas and police are worried that tragedy may strike.
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Hide AdA police spokesman said: "While it may be tempting at this time of year, playing on the ice can be extremely dangerous.
"With the potential for the weather to deteriorate as the week progresses, I would urge everyone who travels by foot or bicycle in the area to take extra caution."