Radiative lifetimes of 11 levels belonging to the 5s5p 1 P o 1 , 5snd 3 D 1,2 ͑n =6-9͒ and 5sns 3 S 1 ͑n =7,8͒ series of Cd I, and of 5 levels of Cd II (i.e., 4d 10 5p 2 P o 1/2,3/2 , 4d 10 6s 2 S 1/2 , and 4d 10 5d 2 D 3/2,5/2) have been measured using the time-resolved laser-induced fluorescence technique. Free neutral and singly ionized cadmium atoms have been generated by laser ablation. Single-or two-step excitation processes were considered to populate the levels under study. Branching fractions of Cd II transitions have been measured by laser-induced breakdown spectroscopy. Transition probabilities and oscillator strengths for Cd I and Cd II spectral lines originating from the above states as well as from the 4d 9 5s 2 2 D 3/2,5/2 states of Cd II have been deduced by combining the experimental lifetimes and theoretical branching fractions obtained in multiconfigurational relativistic Hartree-Fock calculations taking core-polarization effects into account.