The hyperfine structure constants of the lowest s and p1/2 states of
superheavy elements Z=119 and Z= 120+ are calculated using {\em ab initio}
approach. Core polarization and dominating correlation effects are included to
all orders. Breit and quantum electrodynamic effects are also considered.
Similar calculations for Cs, Fr, Ba+ and Ra+ are used to control the
accuracy. The dependence of the hyperfine structure constants on nuclear radius
is discussed.Comment: 4 pages, 3 tables, no figure