  We present a review of recent works devoted to the variation of the fine
structure constant alpha, strong interaction and fundamental masses. There are
some hints for the variation in quasar absorption spectra, Big Bang
nucleosynthesis, and Oklo natural nuclear reactor data. A very promising method
to search for the variation of the fundamental constants consists in comparison
of different atomic clocks. Huge enhancement of the variation effects happens
in transition between accidentally degenerate atomic and molecular energy
levels. A new idea is to build a ``nuclear'' clock based on the ultraviolet
transition between very low excited state and ground state in Thorium nucleus.
This may allow to improve sensitivity to the variation up to 10 orders of
magnitude!
  Huge enhancement of the variation effects is also possible in cold atomic and
molecular collisions near Feschbach resonance.
