The school said it was "thoroughly investigating" and that "a member of staff has been suspended whilst the investigation continues".
Avon and Somerset Police confirmed they have spoken to a family involved, but will be taking no futher action.
Ian Bradbury, Executive Head Teacher of the Quantock Federation, has commented following claims a teacher at Danesfield School in Williton, Somerset, taped pupils mouths shut.
We take all allegations concerning the well-being of our children very seriously. An incident happened yesterday which we are investigating thoroughly. A member of staff has been suspended whilst the investigation continues.
My thanks to the numerous parents who have brought this matter to my personal attention and have given their on-going support to us in this challenging situation.