A theory, which was previously applied to electron transfer in DNA, is applied to hole transfer between a dye molecule and an electrode coupled through a DNA bridge, because the applicability to such hole transfer has not yet been studied. The results calculated using the theory are compared with the experimental results for the same system. The theory reproduces the dependence of the current between the dye molecule and the electrode on the length of DNA. However, the agreement with experimental results requires that the reorganization energy in the ground state of a dye molecule be larger than that employed in previous studies of electron transfer.