A highly efficient and straightforward one-pot three-component synthesis of functionalized 2-amino-4H-chromenes and indole-substituted 3-amino-1H-benzo[f]chromenes have been developed by 3-amino-1,2,4-triazole supported on hydroxyapatite-encapsulated-γ-Fe2O3 (γ-Fe2O3@HAp@CPTMS@AT) as the new magnetically recyclable heterogeneous basic nanocatalyst. The wide range of valuable 4H-chromene and 1H-chromene structures having different substituents were efficiently synthesized using one-pot tandem Knoevenagel cyclocondensation reaction of aromatic aldehydes, active methylene nitriles (malononitrile and 3-cyanoacetylindole) and diverse phenolic nucleophiles (resorcinol, α-naphthol and β-naphthol) in the presence of nano γ-Fe2O3@HAp@CPTMS@AT in EtOH. The structure and morphology of the synthesized nanocatalyst were characterized by using various techniques such as FT-IR, FESEM, EDS, XRD, TGA-DTA and VSM. The catalytic activity of nano γ-Fe2O3@HAp@CPTMS@AT was evaluated and the results indicated its applicability as a novel, highly efficient, green, recyclable and promising heterogeneous basic nanocatalyst for the synthesis of 4H-chromene and 1H-chromene derivatives.