Peri- and paracentric inversions are observed in human leukocytes at various rates. Four categories are proposed, in relation to the frequency of occurrence, although it may vary with time for a same inversion. Category 1 corresponds to isolated, thus non recurrent inversions. Category 2 (f congruent to .001) corresponds to inv(14)(q12qter) and inv(7)(p14q35) in individuals with presumably normal genetic constitution. Category 3 (f congruent to .01) corresponds to inv(7)(p14q35) in patients affected by ataxia telangiectasia (AT). This inversion, when it is frequent, indicates an abnormal genetic constitution, radiation sensitive and predisposing to cancers. Finally, category 4 (f greater than or equal to .1) corresponds to inversions existing in precancer or in cancer clonal cells: inv(14)(q11.2q32.2) in AT patients affected by a T-cell hemopathy, inv(14)(q12qter) in chronic T-cell lymphocytic leukaemia, and inv(16)(p13q22) in acute myelomonocytic leukaemia with abnormal eosinophils. The prognostic and diagnostic interests of these inversions is discussed.