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The hyperfine structure constants of the lowest $s$ and $p_{1/2}$ states ofsuperheavy elements Z=119 and Z= 120$^+$ are calculated using {\em ab initio}approach. Core polarization and dominating correlation effects are included toall orders. Breit and quantum electrodynamic effects are also considered.Similar calculations for Cs, Fr, Ba$^+$ and Ra$^+$ are used to control theaccuracy. The dependence of the hyperfine structure constants on nuclear radiusis discussed.

Calculation of the hyperfine structure of the superheavy elements Z=119 and Z=120+