The recent measurement of the muon anomalous magnetic moment a(mu) shows a
2.6 sigma deviation from the standard model value. We show that it puts an
interesting bound on the mass of the second generation leptoquarks. To acco
unt for the data the leptoquark must have both left- and right-handed coupl
ings to the muon. Assuming that the couplings have electromagnetic strength
, the mass is restricted in the range 0.7 TeV<M-LQ<2.2 TeV at 95% C.L. We a
lso discuss constraints coming from other low energy and high energy experi
ments. If first-second-generation universality is assumed, constraints come
from atomic-parity violation and charged-current universality. We show tha
t the coexistence with other leptoquarks can satisfy these additional const
raints and at the same time does not affect a(<mu>).