Toward the development of HVDC power apparatus, we investigate the charging process on solid insulator in terms of the time transition of conductivity distribution in air for air-solid composite insulation system from DC-on to DC steady-state. By using needle-air-PMMA-plane electrode configuration, we measure the time evolution of surface potential on PMMA due to partial discharge at the needle tip under negative DC voltage. We compare the measured surface potential distribution with the simulation result considering the charge behavior in air. Especially, a novel simulation model considering the charge supply due to DC partial discharge is built. As a result, in air-solid composite insulation system under negative DC application, the time transition of conductivity distribution in air corresponding to the charge accumulation is evaluated quantitatively.