Nanoparticles of ZnO doped with 6 at.% Mn were produced by a sol-gel method. X-ray diffraction confirms the hexagonal structure as that of the parent compound ZnO, and high-resolution electron transmission microscopy reveals a single-crystallite lattice. Magnetic measurements using a superconducting quantum interference device indicate that about one half of the Mn2+ ions follow Curie's law for paramagnetism. The remaining Mn2+ ions exhibit a weak ferromagnetic character, which might be induced through canted antiferromagnetic interactions.