A displayed rotation speed control apparatus for a hybrid vehicle including an engine and a traveling motor which are driving sources, and a continuously variable transmission disposed between the traveling motor and driving wheels (10R, 10L), the hybrid vehicle having an EV mode in which the traveling motor is used as the driving source, an HEV mode in which the engine and the traveling motor are used as the driving sources, a continuous shift mode in which a transmission gear ratio of the continuously variable transmission is continuously varied, and a simulated stepwise shift mode in which the transmission gear ratio of the continuously variable transmission is stepwisely varied, the displayed rotation speed control apparatus is characterised by comprising: a displayed rotation speed controller configured to produce a displayed rotation speed signal to a rotation speed display device disposed within a vehicle interior, the displayed rotation speed controller having a first display mode, a second display mode, and a third display mode, when the mode is switched from the EV mode to the HEV mode to initiate a starting of the engine, and when the mode is switched from the continuous shift mode to the simulated stepwise shift mode while the actual engine speed is smaller than a predetermined rotation speed, the first display mode being configured to display, as a first engine speed, a retarded displayed rotation speed signal for displaying by retarding an actual engine speed in the rotation speed display device, during a period from the initiation of the starting of the engine to a rotation speed smaller than a predetermined rotation speed, in the simulated stepwise shift mode, the second display mode being configured to display, as a second engine speed, a target primary displayed rotation speed signal produced based on a target primary rotation speed according to a target transmission gear ratio stepwisely set, in the rotation speed display device, and when the actual engine speed becomes equal to or greater than the predetermined rotation speed at a first time, the third display mode being configured to display, as a third engine speed, a transition displayed rotation speed signal which is transited from the first engine speed at the first time to the second rotation speed during a predetermined transition time period, in the rotation speed display device. a displayed rotation speed controller configured to produce a displayed rotation speed signal to a rotation speed display device disposed within a vehicle interior, the displayed rotation speed controller having a first display mode, a second display mode, and a third display mode, when the mode is switched from the EV mode to the HEV mode to initiate a starting of the engine, and when the mode is switched from the continuous shift mode to the simulated stepwise shift mode while the actual engine speed is smaller than a predetermined rotation speed, the first display mode being configured to display, as a first engine speed, a retarded displayed rotation speed signal for displaying by retarding an actual engine speed in the rotation speed display device, during a period from the initiation of the starting of the engine to a rotation speed smaller than a predetermined rotation speed, in the simulated stepwise shift mode, the second display mode being configured to display, as a second engine speed, a target primary displayed rotation speed signal produced based on a target primary rotation speed according to a target transmission gear ratio stepwisely set, in the rotation speed display device, and when the actual engine speed becomes equal to or greater than the predetermined rotation speed at a first time, the third display mode being configured to display, as a third engine speed, a transition displayed rotation speed signal which is transited from the first engine speed at the first time to the second rotation speed during a predetermined transition time period, in the rotation speed display device.