Since 7 Li is easily destroyed in low temperatures, the surface lithium abundance decreases as stars evolve. This is supported by the lithium depletion observed in the atmosphere of most red giants. However, recent studies show that almost all of red clump stars have high lithium abundances A(Li) > −0.9, which are not predicted by the standard theory of the low-mass stellar evolution. In order to reconcile the discrepancy between the observations and the model, we consider an additional energy loss induced by a neutrino magnetic moment. A(Li) slightly increases near the tip of the red giant branch even in the standard model with thermohaline mixing because of the 7 Be production by the Cameron-Fowler mechanism, but the resultant 7 Li abundance is much lower than the observed values. We find that the production of 7 Be becomes more active if the neutrino magnetic moment is invoked, because themohaline mixing becomes more efficient and a heavier helium core is formed because of the delay of the helium flash. The discrepancy is mitigated when the neutrino magnetic moment of (2 − 5) × 10 −12 µ B is applied, where µ B is the Bohr magneton.