  We study static magnetic susceptibility $\chi(T, \mu)$ in $SU(2)$ lattice
gauge theory with $N_f = 2$ light flavours of dynamical fermions at finite
chemical potential $\mu$. Using linear response theory we find that $SU(2)$
gauge theory exhibits paramagnetic behavior in both the high-temperature
deconfined regime and the low-temperature confining regime. Paramagnetic
response becomes stronger at higher temperatures and larger values of the
chemical potential. For our range of temperatures $0.727 \leq T/T_c \leq 2.67$,
the first coefficient of the expansion of $\chi(T, \mu)$ in even powers of
$\mu/T$ around $\mu=0$ is close to that of free quarks and lies in the range
$(2 \ldots 5) \cdot 10^{-3}$. The strongest paramagnetic response is found in
the diquark condensation phase at $\mu > m_{\pi}/2$.
