This work exposes the possibilities to apply the hybrid spectrum decomposition and zero-crossing technique for the phase velocity measurement of the Lamb wave fundamental modes. This technique has been investigated using modelled signals of the Lamb wave asymmetric A(0) and symmetric S-0 modes in two different objects: in homogenous aluminium plate of 2 mm thikness and nonhomogenous CFRP (Carbon Fibber Reinforced Plastic) plate of 0.2 mm thickness. The technique enables to evaluate the phase velocity dispersion of the Lamb waves and to reconstruct segments of the dispersion curves.