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We investigate a t-J ladder model by numerical diagonalization method. Bycalculating correlation functions and assuming the Luttinger liquid relation,we obtained a possible phase diagram of the ground state as a function of J/tand electron density $n$. We also found that behavior of correlation functionsseems to consist with the prediction of Luttinger liquid relation. The resultsuggests that the superconducting phase appear in the region of $J/t\displaystyle{ \mathop{>}_{\sim}} 0.5$ for high electron density and $J/t\displaystyle{ \mathop{>}_{\sim}} 2.0$ for low electron density.Comment: Latex, 10 pages, figures available upon reques

Possible Phase Diagram of at-J Ladder Model