A control device for a continuously variable transmission mounted between an engine and a drive wheel in a vehicle and having a continuously variable transmission mechanism and a frictional engagement element that is installed at an output section, which leads to the drive wheel, of the continuously variable transmission and disconnects power, the control device controlling a transmission ratio (Ratio) of the continuously variable transmission mechanism and the frictional engagement element, the control device comprising: a vehicle speed detection unit that is configured to detect a vehicle speed (Vsp) of the vehicle; a transmission ratio detection unit (42,43,12a) that is configured to detect the transmission ratio (Ratio); and a control unit (11,12) that is configured to judge, on the basis of detection vehicle speed information from the vehicle speed detection unit, whether or not the transmission ratio (Ratio) detected by the transmission ratio detection unit (42,43,12a) is a maximum transmission ratio at a vehicle stop when the vehicle speed (Vsp) is 0, and wherein the control unit (11, 12) is configured to perform a Low-return control at the vehicle stop that operates the transmission ratio (Ratio) to the maximum transmission ratio while controlling the frictional engagement element into a slip state when the detected transmission ratio (Ratio) is not the maximum transmission ratio, characterized in that the control device further comprises a slope estimation unit that is configured to estimate a slope of a road where the vehicle stops, the control unit (11,12) is configured to judge whether or not the road slope estimated by the slope estimation unit is an upward slope, and when judging that the estimated road slope is the upward slope and performing the Low-return control, the control unit (11,12) is configured to control, according to the estimated road slope, an engagement pressure of the frictional engagement element by which the frictional engagement element is brought into the slip state. a vehicle speed detection unit that is configured to detect a vehicle speed (Vsp) of the vehicle; a transmission ratio detection unit (42,43,12a) that is configured to detect the transmission ratio (Ratio); and a control unit (11,12) that is configured to judge, on the basis of detection vehicle speed information from the vehicle speed detection unit, whether or not the transmission ratio (Ratio) detected by the transmission ratio detection unit (42,43,12a) is a maximum transmission ratio at a vehicle stop when the vehicle speed (Vsp) is 0, and wherein the control unit (11, 12) is configured to perform a Low-return control at the vehicle stop that operates the transmission ratio (Ratio) to the maximum transmission ratio while controlling the frictional engagement element into a slip state when the detected transmission ratio (Ratio) is not the maximum transmission ratio, characterized in that the control device further comprises a slope estimation unit that is configured to estimate a slope of a road where the vehicle stops, the control unit (11,12) is configured to judge whether or not the road slope estimated by the slope estimation unit is an upward slope, and when judging that the estimated road slope is the upward slope and performing the Low-return control, the control unit (11,12) is configured to control, according to the estimated road slope, an engagement pressure of the frictional engagement element by which the frictional engagement element is brought into the slip state.