A control apparatus for an electrically driven vehicle, the electrically driven vehicle including a driving wheel, a driving power source and a driving power transmission path, the driving power source including an electric motor, the driving power transmission path being configured to transmit driving power generated by the driving power source, to the driving wheel, the control apparatus comprising: a dynamic power transmission mechanism that is disposable on the driving power transmission path, the dynamic power transmission mechanism including a driving-side member, a driven-side member, a fluid coupling and an engagement mechanism, the driving-side member being linkable with the electric motor, the driven-side member being linkable with the driving wheel, the fluid coupling being configured such that torque is transmitted through fluid while the driving-side member and the driven-side member relatively rotate, the engagement mechanism being configured to link the driving-side member and the driven-side member; the control apparatus being characterized by further comprising: an electronic control unit configured to determine whether the operating state of the electric motor becomes an operating state in which a value of a heat load generated in the electric motor during a predetermined period is a predetermined value or greater, the electronic control unit being configured to control the dynamic power transmission mechanism, in a case of determining that the operating state of the electric motor becomes the operating state in which the value of the heat load is the predetermined value or greater, so as to execute a slip control such that based on the heat load, the greater the heat load is, the higher a speed of the electric motor is than the speed of the electric motor at a time point, when the operating state of the electric motor becomes the operating state in which the value of the heat load is the predetermined value or greater, and that the greater the heat load is, the more speed of a relative rotation in the fluid coupling increases. a dynamic power transmission mechanism that is disposable on the driving power transmission path, the dynamic power transmission mechanism including a driving-side member, a driven-side member, a fluid coupling and an engagement mechanism, the driving-side member being linkable with the electric motor, the driven-side member being linkable with the driving wheel, the fluid coupling being configured such that torque is transmitted through fluid while the driving-side member and the driven-side member relatively rotate, the engagement mechanism being configured to link the driving-side member and the driven-side member; the control apparatus being characterized by further comprising: an electronic control unit configured to determine whether the operating state of the electric motor becomes an operating state in which a value of a heat load generated in the electric motor during a predetermined period is a predetermined value or greater, the electronic control unit being configured to control the dynamic power transmission mechanism, in a case of determining that the operating state of the electric motor becomes the operating state in which the value of the heat load is the predetermined value or greater, so as to execute a slip control such that based on the heat load, the greater the heat load is, the higher a speed of the electric motor is than the speed of the electric motor at a time point, when the operating state of the electric motor becomes the operating state in which the value of the heat load is the predetermined value or greater, and that the greater the heat load is, the more speed of a relative rotation in the fluid coupling increases.