  We derive the effective Hamiltonian for the composite fermion in double-layer
quantum Hall systems with inter-layer tunneling at total Landau-level filling
factor $\nu=1/m$, where $m$ is an integer. We find that the ground state is the
triplet p-wave BCS pairing state of the composite fermions. At $\nu=1/2$, the
ground state of the system evolves from the Halperin $(3,3,1)$-state toward the
Pfaffian-state with increasing the tunneling amplitude. On the other hand, at
$\nu=1$, the pairing state is uniquely determined independent of tunneling
amplitude.
