The main theoretical and experimental results on ion acoustic shock waves i
n dusty plasmas are reviewed. Two situations are considered: when the dust
charge variation is caused by only the microscopic electron and ion current
s at the grains and when it is caused by the microscopic currents and the p
hotoelectric current of electrons. The possibilities of observation of shoc
k waves related to the dust charging process in laboratory experiments, in
active geophysical rocket experiments, and in astrophysical phenomena are d
iscussed.