Finite multilayer structures are widely used for noise control in automobiles, aircrafts, buildings and several other engineering applications. In this work, multi-cell hybrid sound packages which are special examples of the multilayer systems have been presented with combining passive and active control by using porous materials and piezoelectric ceramics. The acoustical transmission performance of these hybrid sound packages which improve sound absorption and insulation is calculated by finite element method in Comsol environment, where the sound propagation in porous materials is formulated with the mixed (u, p) formulation based on the displacement in solid phase and the pressure in fluid phase. The involved coupled boundary conditions in a hybrid cell are derived, and the minimum sound power is used as an objective function in active control. The transmission loss of the hybrid sound packages excited by a plane wave is calculated and tested in the condition that the interface between multi hybrid cells is rigid or elastic. The results in numerical examples have shown that with active control the transmission loss of the hybrid sound packages can be improved more than 10dB in low frequencies.