Another 39 students were injured and rushed to the Kakamega County Referral Hospital.
Kakamega Central police commander David Kabena confirmed the incident.
Pupils reportedly started running out of the classrooms after a bell rung to go home.
Many celebrities took to social media to console the bereaved parents of the children.
King Kaka's emotional tribute moved KOT on Instagram’
In prayers with kakamega primary school for their great loss.
Comedian Njugush captioned his post;
Sleep well young dreams
Mwalimu Churchill wrote
My heart goes out to the family and friends of those little ones # RIP
Brenda Wairimu on her twitter page and Instagram posted;
May the parents and families of the angels find comfort. And the schoolmates, classmates left behind,
this is too much for little hearts to handle.
May the souls of these young ones rest in peace.