A control apparatus for a hybrid vehicle power transmitting system including a switching portion operable to switch a power transmitting path between a power transmitting state and a power cut-off state in response to an operation of a shift lever, the control apparatus including (a) an operating-state estimating portion configured to estimate an operating speed of an electric motor which constitutes a part of the power transmitting path or a rotating speed of a coupling element of the coupling portion, which speed is established after switching of the power transmitting path from one of the power transmitting and cut-off states to the other, and (b) a switching restricting portion configured to restrict a switching operation to switch the power transmitting path between the two states, when the estimated operating or rotating speed of the electric motor or coupling device is higher than a predetermined upper limit.