A charge trapping floating gate is described with asymmetric tunneling barriers. The memory cell includes a source region and a drain region separated by a channel region. A first tunneling barrier structure is disposed above the channel region. A floating gate is disposed above the first tunneling barrier structure covering the channel region. A second tunneling barrier is disposed above the floating gate. A dielectric charge trapping structure disposed above the second tunneling barrier and a blocking dielectric structure is disposed above the charge trapping structure. A top conductive layer disposed above the top dielectric structure acts as a gate. The second tunneling barrier is a more efficient conductor of tunneling current, under bias conditions applied for programming and erasing the memory cell, than the first tunneling barrier structure.