We develop current sheet models which allow to regulate the level of plasma temperature anddensity inhomogeneities across the sheet. These models generalize the classical Harris model viaincluding two current-carrying plasma populations with different temperature and the backgroundplasma not contributing to the current density. The parameters of these plasma populationsallow regulating contributions of plasma density and temperature to the pressure balance. A briefcomparison with spacecraft observations demonstrates the model applicability for describing theEarth magnetotail current sheet. We also develop a two dimensional (2D) generalization of theproposed model. The interesting effect found for 2D models is the non-monotonous profile (alongthe current sheet) of the magnetic field component perpendicular to the current sheet. Possibleapplications of the model are discussed.