We present a theory of the mobility of electrons in the semi-parabolic quantum wells based on polarization materials. Our theory includes strong confinement due to polarization charges bound on the interface of the hetero-structures (HSs) form a base semi-parabolic quantum wells. By using the variational method, a detailed procedure for the calculation of the electron distribution is found to be shifted closer to the interface for increasing the polarization charges. So the effect of polarization on the mobility limited by surface roughness (or polarization surface roughness) scattering dominate the lateral transport in the polar HSs under study.