The infrared reflectivity of the bismuth-based high-T c superconductors Bi 2.07 Sr 1.8 CuO 6+δ (2201) with T c = 7 K, Bi 2.1 Sr 1.9 CaCu 2 O 8+δ (2212) with T c = 85 K, and Bi 1.8 Pb 0.3 Sr 2 Ca 2 Cu 3 O 10+δ (2223) with T c = 108 K have been measured between 25 and 8000 cm −1 at temperatures between 5 and 300 K. The temperature-and frequency-dependent far-infrared part of the spectrum is analysed. The Kramers-Kronig analysis was used to determine the optical conductivity and a tentative mode assignment was investigated for all three phases. The softening of phonon modes in Cu-O and Bi-O layers was also observed.