2-(1-Adamantyl)-2-methyl-pyrrolidines 3 and 4, 2-(1-adamantyl)-2-methyl-azetidines 5 and 6, and 2-(1-adamantyl)-2-methyl-aziridines 7 and 8 were synthesized and tested for their antiviral activity against influenza A. Parent molecules 3, 5, and 7 contain the alpha-methyl-1-adamantan-methanamine 2 pharmacophoric moiety (rimantadine). The ring size effect on anti-influenza A activity was investigated. Pyrrolidine 3 was the most potent anti-influenza virus A compound, 9-fold more potent than rimantadine 2, 27-fold more potent than amantadine 1, and 22-fold more potent than ribavirin. Azetidines 5 and 6 were both markedly active against influenza A H2N2 virus, 10- to 20-fold more potent than amantadine. Aziridine 7 was almost devoid of any activity against H2N2 virus but exhibited borderline activity against H3N2 influenza A strain. Thus, it appears that changing the five-, to four- to a three-membered ring results in a drop of activity against influenza A virus.