A driving apparatus for a hybrid vehicle, the driving apparatus comprising: an internal combustion engine; an electric motor; a speed change unit configured to transmit power from at least one of the internal combustion engine and the electric motor to a drive wheel of the hybrid vehicle; a first engagement element configured to engage between the internal combustion engine and the electric motor to establish a first power transmission condition; a second engagement element configured to engage between an input shaft and an output shaft of the speed change unit to establish a second power transmission condition, and the second engagement element being configured to disengage between the input shaft and the output shaft to establish a power cutoff condition; an oil pressure source (27, 28) configured to supply working oil to the first engagement element and the second engagement element; a selection unit configured to select any of a plurality of shift ranges (D, R, P, N), the plurality of shift ranges including a first range and a second range, the first range being established by setting the second engagement element in an engaged condition and the second range being established by setting the second engagement element in a disengaged condition; and an electronic control unit configured to control the first engagement element to engage between the internal combustion engine and the electric motor when the second range is selected by the selection unit characterized in that the electronic control unit is configured to control the first engagement element to disengage between the internal combustion engine and the electric motor when the first range is selected after establishing the second range and a request to operate the internal combustion engine has not been issued. an internal combustion engine; an electric motor; a speed change unit configured to transmit power from at least one of the internal combustion engine and the electric motor to a drive wheel of the hybrid vehicle; a first engagement element configured to engage between the internal combustion engine and the electric motor to establish a first power transmission condition; a second engagement element configured to engage between an input shaft and an output shaft of the speed change unit to establish a second power transmission condition, and the second engagement element being configured to disengage between the input shaft and the output shaft to establish a power cutoff condition; an oil pressure source (27, 28) configured to supply working oil to the first engagement element and the second engagement element; a selection unit configured to select any of a plurality of shift ranges (D, R, P, N), the plurality of shift ranges including a first range and a second range, the first range being established by setting the second engagement element in an engaged condition and the second range being established by setting the second engagement element in a disengaged condition; and an electronic control unit configured to control the first engagement element to engage between the internal combustion engine and the electric motor when the second range is selected by the selection unit characterized in that the electronic control unit is configured to control the first engagement element to disengage between the internal combustion engine and the electric motor when the first range is selected after establishing the second range and a request to operate the internal combustion engine has not been issued.