The campaign comes in the wake of the death of a schoolboy in Northern Ireland, who suffered a double concussion while playing rugby.
Benjamin Robinson, 14, died from a rare version of traumatic brain injury called second impact syndrome after a school rugby match in Co Antrim in 2011.
New guidance is now being issued in Scotland, advising coaches, teachers and parents on how to spot the signs of concussion and what action to take.
The leaflet, which is being sent to schools and sports governing bodies in Scotland, makes the point: "If in doubt, sit them out."
Sport minister Shona Robison said that was "a potentially lifesaving message that will help keep children as safe as possible".
She added it was "vital that people at all levels of sport understand the signs - and the dangers - of concussion".
Education Secretary Mike Russell said: "Benjamin's death was a tragic case and his parents have been instrumental in ensuring there is a clear message to schools and sports clubs that concussion should be taken seriously and that anyone suspected of sustaining such an injury should be immediately removed from play.
"We hope this leaflet will help prevent further tragic incidents of concussion in children and young people playing sport by helping adults recognise the symptoms and know what action to take."
The new campaign is supported by the Scottish Rugby Union, the Scottish Football Association and sportscotland.