A shift control device for a vehicle including an automatic transmission that has a plurality of engagement devices, the plurality of engagement devices transmitting rotation and torque between an input shaft that receives power from a driving force source and an output shaft that transmits power to a drive wheel, the automatic transmission being shifted by switching between engaged and released states of each of the engagement devices, the shift control device being configured to carry out a shift of the automatic transmission with the use of a predetermined shift model with which control operation amounts are determined to achieve shift target values, the shift control device comprising: an electronic control unit configured to carry out the shift of the automatic transmission with the use of the shift model by: (i) setting the shift target values on the basis of two values that are a torque of a rotating member on the output shaft side and a speed variation amount of a rotating member on the input shaft side, (ii) setting the control operation amounts on the basis of three values that are a torque of the rotating member on the input shaft side, a torque capacity of an engaged one of the engagement devices during the shift and a torque capacity of a released one of the engagement devices during the shift, the shift control device characterised in that the electronic control device is configured to carry out the shift with the use of the shift model by further: (iii) setting torque shares of a transmission torque between the engaged one of the engagement devices and the released one of the engagement devices during the shift, the electronic control unit being configured to, at the time of a shift between gear speeds, which is carried out by releasing two of the engagement devices and engaging other two of the engagement devices, carry out the shift by carrying out a first shift and a second shift through an intermediate gear speed, the electronic control unit being configured to carry out the first shift from a pre-shift gear speed to the intermediate gear speed by releasing one of the engagement devices and engaging another one of the engagement devices and to carry out the second shift from the intermediate gear speed to a post-shift gear speed by releasing one of the engagement devices and engaging another one of the engagement devices. an electronic control unit configured to carry out the shift of the automatic transmission with the use of the shift model by: (i) setting the shift target values on the basis of two values that are a torque of a rotating member on the output shaft side and a speed variation amount of a rotating member on the input shaft side, (ii) setting the control operation amounts on the basis of three values that are a torque of the rotating member on the input shaft side, a torque capacity of an engaged one of the engagement devices during the shift and a torque capacity of a released one of the engagement devices during the shift, (i) setting the shift target values on the basis of two values that are a torque of a rotating member on the output shaft side and a speed variation amount of a rotating member on the input shaft side, (ii) setting the control operation amounts on the basis of three values that are a torque of the rotating member on the input shaft side, a torque capacity of an engaged one of the engagement devices during the shift and a torque capacity of a released one of the engagement devices during the shift, the shift control device characterised in that the electronic control device is configured to carry out the shift with the use of the shift model by further: (iii) setting torque shares of a transmission torque between the engaged one of the engagement devices and the released one of the engagement devices during the shift, (iii) setting torque shares of a transmission torque between the engaged one of the engagement devices and the released one of the engagement devices during the shift, the electronic control unit being configured to, at the time of a shift between gear speeds, which is carried out by releasing two of the engagement devices and engaging other two of the engagement devices, carry out the shift by carrying out a first shift and a second shift through an intermediate gear speed, the electronic control unit being configured to carry out the first shift from a pre-shift gear speed to the intermediate gear speed by releasing one of the engagement devices and engaging another one of the engagement devices and to carry out the second shift from the intermediate gear speed to a post-shift gear speed by releasing one of the engagement devices and engaging another one of the engagement devices.