Vibrational spectra of three-component BaTiO ₃/ SrTiO ₃/ CaTiO ₃ short-period superlattices grown by pulsed laser deposition with atomic-layer control have been investigated by ultraviolet Raman spectroscopy. Monitoring the intensity of the first-order phonon peaks in Raman spectra as a function of temperature allowed the determination of the ferroelectric phase transition temperature T_c . Raman spectra indicate that all superlattices remain in the tetragonal ferroelectric phase with out-of-plane polarization in the entire temperature range below T_c . The dependence of T_c on the relative thicknesses of ferroelectric ( BaTiO ₃) to nonferroelectric materials ( SrTiO ₃ and CaTiO ₃ ) has been studied. The highest T_c was found in superlattices having the largest relative amount of BaTiO ₃ , provided that the superlattice maintains its coherency with the substrate. Strain relaxation leads to a significant decrease in the ferroelectric phase transition temperature.