Simultaneous measurements for space charge and external current were carried out using a PEA measurement system with an electrometer on the back of a grounding electrode in order to clarify physical situation of a huge packet of positive space charges in LDPE films. A large number of positive charges from semi-conduction anode were accumulated at the interface between LDPE and Al-cathode under 1.5MV/cm of mean applied field and then they finally disappeared. Results of the simultaneous measurements showed that the external current kept a relatively high value during the charge accumulation and it further increased when the charges disappeared. Both the charge dynamics and the external current were restricted by addition of a low-molecular-weight paraffin wax, indicating that the carrier transport was influenced by micro structure of the polymer. Dynamics of residual charges after short-circuiting is also discussed.