  We refer to $d(G)$ as the minimal cardinality of a generating set of a finite
group $G$, and say that $G$ is $d$-generated if $d(G)\leq d$. A transitive
permutation group $G$ is called $\frac{3}{2}$-transitive if a point stabilizer
$G_\alpha$ is nontrivial and its orbits distinct from $\{\alpha\}$ are of the
same size. We prove that $d(G)\leq4$ for every primitive
$\frac{3}{2}$-transitive permutation group $G$, moreover, $G$ is $2$-generated
except for the very particular solvable affine groups that we completely
describe. In particular, all finite $2$-transitive and $2$-homogeneous groups
are $2$-generated. We also show that every finite group whose abelian subgroups
are cyclic is $2$-generated, and so is every Frobenius complement.
