The definitions of some units of the International System are likely to be revised as early as 2011 by basing them on fixed values of fundamental constants of nature, provided experimental realizations are demonstrated with sufficiently small uncertainties. As regards the kilogram, experiments aiming at linking it to the Avogadro constant and the Planck constant are under way in several laboratories. Details are given on the experimental techniques developed to achieve the target. The other units likely to be redefined are the ampere, the kelvin and the mole. Advantages and disadvantages of different alternatives for revised definitions are discussed.