Magnetic measurements have been performed to investigate random-bond effects on a spin-ladder system. We synthesize a random mixture compound Cu-2(C5H12N2)(2)(Cl1-xBrx)(4) which is expected to form a spin ladder kith random-exchange legs and rungs. The magnetic properties of the compound are rather different from those of the pure systems. Paramugnetic divergence is significantly observed for the susceptibility at low temperatures and the magnetization appears even at low fields. The results suggest that the ground state of the random-bond ladder is a Griffiths phase.