Growth-stimulating effects of water-soluble nanoparticles of N-substituted monoamino-acid derivatives of fullerene C60 (L- and D-alanine, L- and D-valine, L- and D-aspartic acid, β-alanine, and γ-aminobutyric and ε-aminocaproic acids in potassium salt form) were investigated. It was found that the nanoparticle size and relative antiradical activity of fullerene derivatives were factors that influence such physiological parameters of field peas as seed germination rate, germination energy, and root growth capacity. It was shown that the relative antiradical activity of nanoparticles in the selected group of compounds was determined by the total surface area of the nanoparticles regardless of the structure of the amino-acid substituent. The possibility of using amino-acid derivatives of fullerene as effective growth stimulating substances has been demonstrated. A dose-dependent effect of N-(monohydrofullerenyl)-D-alanine potassium salt in a concentration range of 10–9–10–11 M on the seed-germination rate and germination energy of field peas has been demonstrated.