We calculate the dilution of the baryon-to-photon ratio by the decay o
f superstring axions, We find that the dilution is of the order of 10(
7). We review several models of baryogenesis and show that most of the
m can not tolerate such a large dilution, In particular, only one curr
ent model of electroweak baryogenesis possibly survives. The Affleck-D
ine mechanism in SUSY GUTs is very robust and the dilution by axions c
ould contribute to the dilution required in these models. Baryogenesis
scenarios involving topological defects and black hole evaporation ar
e also capable of producing a sufficiently large baryon asymmetry.