MHD equilibria of tokamaks with a droplet-shaped cross section (an elliptic cross section with some triangular deformation) have been dealt with in this paper, all equilibrium solution and the current distribution in external coils required by producing the appropriate configuration are presented. The problem of heating the plasma with such configuration by adiabatic compression is discussed, the variation of all the equilibrium configuration with time during the compression is given. Calculations of the equilibrium configurations and the variations in configuration and in pressure during the adiabatic compression have been carried out for several giving current density profiles, some numerical computations are shown in figures.