A hybrid vehicle, having: (i) an engine, (ii) a continuously variable transmission, (iii) a mechanical oil pump (O/P) that is configured to be driven by the engine for supplying hydraulic pressure to the continuously variable transmission, (iv) a driving motor, (v) an electric oil pump (EO/P) that is driven by an electric pump motor for supplying hydraulic pressure to the continuously variable transmission, (vi) driving wheels, (vii) a clutch between the driving wheels and the continuously variable transmission, that is capable of releasing the driving wheels when the driving motor is driving the driving wheels, or subjecting to regenerative braking, (viii) an engine stopping means for stopping the engine when the clutch is released, (ix) a transmission ratio maintaining means for maintaining the transmission ratio of the continuously variable transmission in conjunction with the engine stopping means stopping the engine and maintaining the transmission ratio while the engine is stopped, wherein the hybrid vehicle is configured such that (a) - when a mode switch command is output to switch from a hybrid traveling mode for traveling with the engine to an electric traveling mode in which the engine is stopped and driving motor is driving the driving wheels or subjecting to regenerative braking - (b) the transmission ratio of the continuously variable transmission is on the higher side of 1 along a coast shift line or is shifted on the higher side of 1 along a high-speed mode shift highest line, (c) the clutch is released, (d) the engine is stopped via the engine stopping means, (e) the electric oil pump (EO/P) is activated, and (f) the transmission ratio is maintained at the transmission ratio on the higher side of 1 for switching from the hybrid traveling mode to the electric traveling mode via the transmission ratio maintaining means by supplying hydraulic pressure to the continuously variable transmission via the electric oil pump (EO/P) that is driven by the electric pump motor. (i) an engine, (ii) a continuously variable transmission, (iii) a mechanical oil pump (O/P) that is configured to be driven by the engine for supplying hydraulic pressure to the continuously variable transmission, (iv) a driving motor, (v) an electric oil pump (EO/P) that is driven by an electric pump motor for supplying hydraulic pressure to the continuously variable transmission, (vi) driving wheels, (vii) a clutch between the driving wheels and the continuously variable transmission, that is capable of releasing the driving wheels when the driving motor is driving the driving wheels, or subjecting to regenerative braking, (viii) an engine stopping means for stopping the engine when the clutch is released, (ix) a transmission ratio maintaining means for maintaining the transmission ratio of the continuously variable transmission in conjunction with the engine stopping means stopping the engine and maintaining the transmission ratio while the engine is stopped, (a) - when a mode switch command is output to switch from a hybrid traveling mode for traveling with the engine to an electric traveling mode in which the engine is stopped and driving motor is driving the driving wheels or subjecting to regenerative braking - (b) the transmission ratio of the continuously variable transmission is on the higher side of 1 along a coast shift line or is shifted on the higher side of 1 along a high-speed mode shift highest line, (c) the clutch is released, (d) the engine is stopped via the engine stopping means, (e) the electric oil pump (EO/P) is activated, and (f) the transmission ratio is maintained at the transmission ratio on the higher side of 1 for switching from the hybrid traveling mode to the electric traveling mode via the transmission ratio maintaining means by supplying hydraulic pressure to the continuously variable transmission via the electric oil pump (EO/P) that is driven by the electric pump motor.