Using the threshold changes in the electric admittance of human red blood cells (RBCs) at the temperature of spectrin dissociation and denaturation, two single-time dielectric relaxations, β_sp (1.4 MHz) and γ_1sp (9 MHz), were detected on the spectrin network (sub-membrane skeleton). For the first time, these relaxations were here studied in RBCs with hereditary anemia. The strengths of β_sp and γ1_sp relaxations and the characteristic frequency, f_γ1sp, of γ1_sp relaxation had the same values in RBCs of healthy patients (n=9) and of patients with hemoglobinopathy (n=5). Compared to the RBCs of healthy patients, the strengths of β_sp and γ1_sp relaxations in RBCs of children with severe sings of hereditary spherocytosis, due to spectrin deficiency (n=2), were reduced by about 70%, while f_γ1sp was reduced by 33%. In RBCs of children with milder sings of hereditary spherocytosis, due to spectrin deficiency (n=6), the diminutions of the strengths of β_sp and γ1_sp relaxations and of f_γ1sp were weaker and occupied intermediate values between those of control RBCs and RBCs with severe signs of hereditary spherocytosis. Compared to the RBCs of healthy patients, the strengths of β_sp and γ1_sp relaxations in RBCs of patients with anemia due to band 3 deficiency (n=2) were reduced by about 50%, while f_γ1sp was not changed. In conclusion, the β_sp and γ_1sp dielectric relaxations on RBC spectrin network represent a useful approach in studying the RBC membrane of patients with different membranopathy anemia.