Hyperfine structure of several lines in neutral and singly ionized lead have been measured. The discharge tube containing metallic isotope 207Pb was used as a light source. The high resolution spectral apparatus consisted of a silver coated Fabry-Perot etalon and a grating spectrograph combined with CCD camera used as a detector. In the analysis of the spectra we used a computer simulation technique. Our experiment yields the following hyperfine splitting constants A: A(6p2 1D2)=(20.69 ±0.21) mK, A(6p2 3P2)=(91.37±0.34) mK A(6p7s 1P1)=(16.45±0.95) mK, A(6p7s 3P1)=(293.93±0.56) mK, A(6p6d 3F2)=(103.22±0.31) mK, A(6p6d 3F3)=(69.12±0.28) mK, A(6p8s 3P1)=(202.04±0.48) mK, A(6p8p 3P1)=(224.26±1.37) mK, A(6p8p 3D2)=(108.02±1.14) mK, A(6p7d 3D1)=(-100.86±0.53) mK for the levels of PbI and A(6s2 7s 2S1/2)=(352.1±1.7) mK, A(6s2 7p 2P3/2)=(13.6±1.3) mK, A(6s2 7p 2P1/2)=(70.8±1.1) mK for the levels of Pb II. Our results are compared with recent theory and other experiments.