The ground-state properties of spin-Peierls ladder model with interchain Heisenberg interaction and interchain Dzyaloshinskii-Moriya(DM)interaction are studied by Lanczos numerical method. We mainly concentrate on the influence of interchain Heisenberg interaction and interchain DM interaction on system dimerization. The results show that these two interchain interations always act against the dimerization of the system, and they can make system ground state dimerization diminishing, which means that increasing the system dimensions may reduce system dimerization, even destroy the dimerization phase.