  Quantum chromodymamics (QCD) approach to the problem of multiplicity
distributions in high energy particle collisions is described. The solutions of
QCD equations for generating functions of the multiplicity distributions in
gluon and quark jets are presented for both fixed and running coupling
constants. The newly found characteristics very sensitive to distribution
shapes is discussed. The predictions are confronted to experimental data.
Evolution of the multiplicity distributions with decreasing phase space windows
is considered and discussed in connection to the notions of intermittency and
fractality. Some other QCD effects are briefly described.
