  A new method for measuring a possible time dependence of the fine-structure
constant ($\alpha$) is proposed. The method is based on the level-crossing in
two-electron highly-charged ions facilitating resonance laser measurements of
the distance between the levels at the point of crossing. This provides an
enhancement factor of about $10^{3}$ in Helium-like Europium and thus reduces
the requirements for the relative accuracy of resonance laser measurements at
about $10^{-12}$.
