  Motivated by high-temperature superconductivity in pressurized
La$_3$Ni$_2$O$_7$, we investigate the pair correlations in the two-orbital
Hubbard ladder, which consists of the nearly half-filled and nearly
quarter-filled orbitals. By employing the density matrix renormalization group
method, we demonstrate that the pair correlation exhibits a power-law decay
against the distance while the spin correlation decays exponentially. The decay
exponent of the pair correlation of the nearly half-filled orbital is
comparable to the exponent of the quasi-long-range superconducting correlation
in the doped single-orbital Hubbard ladder, which suggests the importance of
the $d_{3z^2-r^2}$ orbital in La$_3$Ni$_2$O$_7$.
