Using the numerical diagonalization method, we investigate superconductivity and related ferromagnetism in the one- dimensional two- orbital Hubbard model with a finite band splitting at less than half filling. We obtain a superconducting ( SC) region with the Luttinger liquid parameter K-rho > 1 and confirm anomalous flux quantization in the SC state. It is found that the SC phase appears near the partially polarized ferromagnetic phase. We also calculate various pairing correlation functions to clarify the nature of the SC phase. Detailed analysis of these functions indicates that the triplet pairing between the nearest neighbour sites is relevant to the superconductivity. This suggests that ferromagnetic fluctuation plays an important role for the superconductivity.