SSC is a result of the interrelation between strong solar wind dynamic pressure or interplanetary shock and the geomagnetosphere. Generally, the rise time of SSC varies from 4 minutes to 10 minutes. So, we refer to the SSC of the rise time which is more than 15 minutes as anomalous SSC event. We identified 5 anomalous SSC events from the geomagnetic index SYM-H data since the observation beginning of the geomagnetic field. Using the multipoint observations of the solar wind from the Wind, ACE, IMP 8, Goes and Geotail, the interplanetary causes of those anomalous SSC events were analyzed. It is found that: (1) all of 5 anomalous SSC events are accompanied with strong interplanetary disturbances, among which there are 4 events corresponding with the forward fast interplanetary shocks, and 3 events corresponding with multi-step solar wind dynamic pressure changes and 1 event corresponding with a sudden direction change and large amplitude variation in interplanetary electric field. (2) the rise time of those resulted from interplanetary shocks desponds on the orientation of the interplanetary shock, i.e., the bigger the angle between the interplanetary shock normal and the Sun-Earth line, the shorter the rise time, and the contribution of the orientation of the interplanetary shock is more remarkable than its speed. (3) There is no explicit relation between the rise time of the anomalous SSC events and the interplanetary field direction.