  The meson(K and $\pi$) exchange currents for the hypernuclear magnetic
moments are calculated using the effective Lagrangian method. The seagull
diagram, the mesonic diagram and the $\Sigma^0$-excitation diagram are
considered. The $\Lambda$-N exchange magnetic moments for the
${}^5_{\Lambda}He$, ${}^6_{\Lambda}He$ and ${}^6_{\Lambda}Li$ are calculated
employing the harmonic oscillator shell model. It is found that the two-body
correction is about -9% of the single particle value for ${}^5_{\Lambda}He$.
The $\pi$ exchange current, induced only in the $\Sigma^0$-excitation diagram,
is found to give dominant contribution for the isovector magnetic moments of
hypernuclei with A=6.
