Here, we report the generation of MeV alpha-particles from H-¹¹B fusion initiated by laser-accelerated boron ions. Boron ions with maximum energy of 6 MeV and fluence of 10⁹/MeV/sr@5 MeV were generated from 60 nm-thick self-supporting boron nanofoils irradiated by 1 J femtosecond pulses at an intensity of 10¹⁹ W/cm². By bombarding secondary hydrogenous targets with the boron ions, 3 × 10⁵/sr alpha-particles from H-¹¹B fusion were registered, which is consistent with the theoretical yield calculated from the measured boron energy spectra. Our results demonstrated an alternative way toward ultrashort MeV alpha-particle sources employing compact femtosecond lasers. The ion acceleration and product measurement scheme are referential for the studies on the ion stopping power and cross section of the H-¹¹B reaction in solid or plasma.