The enrichment of Pb in the Galaxy is followed in the framework of a detail
ed model of Galactic chemical evolution that already proved adequate to rep
roduce the chemical enrichment of O and of the elements from Ba to Eu. The
stellar yields are computed through nucleosynthesis calculations in the asy
mptotic giant branch (AGB) phase of low- and intermediate-mass stars coveri
ng a wide range of metallicities. The physical parameters of the stellar st
ructure were derived from full stellar evolutionary models computed previou
sly. We show that low-mass AGB stars are the main producers of Pb in the Ga
laxy, with a complex dependence on metallicity and a maximum efficiency at
[Fe/H] similar to -1. Our calculations succeed in reproducing the abundance
s of Pb isotopes in the solar system: the role attributed by the classical
analysis of the s-process to the strong component, in order to explain more
than 50% of solar Pb-208, is actually played by the high production of Pb
in low-mass and low-metallicity AGB stars. We then follow the Galactic chem
ical evolution of Pb isotopes and give our expectations on the s-process co
ntribution to each of them at the epoch of the solar system formation. Fina
lly, we present new spectroscopic estimates of Pb abundance on a sample of
field stars and compare them, together with a few other determinations avai
lable, with the predicted trend of [Pb/Fe] in the Galaxy.