  We find a new class of cosmic string solutions with non-vanishing magnetic
flux of $\mathcal{N}=1$, D=4 supergravity with a cosmological constant and
coupled to any number of Maxwell and scalar multiplets. We show that these
magnetic cosmic string solutions preserve 1/2 of supersymmetry. We give an
explicit example of such a solution for which the complex scalars are constant
and the spacetime is smooth with topology $R^{1,1}\times S^2$. Two more
examples are explored for which a complex scalar field takes values in
$\mathbb{C} P^1$ and in $SL(2,\mathbb{R})/U(1)$.
