  We study an interacting two-component hard-core bosons on square lattice for
which, in the presence of staggered magnetic flux, the ground state is a
bosonic integer quantum Hall (BIQH) state. Using a coupled-wire bosonization
approach, we analytically show this model exhibits a BIQH state at total charge
half filling associated with a symmetry-protected topological phase under
$U(1)$ charge conservation. These theoretical expectations are verified, using
the infinite density matrix renormalization group method, by providing
numerical evidences for: (i) a quantized Hall conductance $\sigma_{xy}=\pm2$,
and (ii) two counter-propagating gapless edge modes. Our model is a bosonic
cousin of the fermionic Haldane model and serves as an additional case of
analogy between bosonic and fermionic quantum Hall states.
