A control apparatus for a vehicular power transmitting system including (a) an electrically controlled differential portion which has a differential mechanism and a first electric motor connected to a rotary element of the differential mechanism and which is operable to control a differential state between a rotating speed of its input shaft connected to a drive power source and a rotating speed of its output shaft by controlling an operating state of the first electric motor, and (b) a switching portion operable to switch a power transmitting path for transmitting power from the drive power source, between a power transmitting state and a power cut-off state, the control apparatus including a control range setting portion configured to set one of two different control ranges of a rotating speed of the output shaft, depending upon whether the power transmitting path is placed in the power transmitting state or said power cut-off state, by the switching portion.