A control apparatus for a hybrid vehicle, the hybrid vehicle including an internal combustion engine that serves as a drive source of the vehicle, an electric motor (MG1, MG2) that serves as a drive source of the vehicle, and a storage battery that supplies electric power to the electric motor (MG1, MG2), the hybrid vehicle being configured to perform regenerative braking with the use of the electric motor (MG1, MG2) and be able to charge the storage battery with electric power generated through the regenerative braking, the hybrid vehicle being also configured to be able to charge the storage battery with electric power generated by using output power of the internal combustion engine, the control apparatus comprising: a controller configured to control the internal combustion engine and the electric motor (MG1, MG2) such that a required driving force that is required from the vehicle is satisfied and a remaining amount of charge of the storage battery approaches a target remaining amount of charge set to a normal remaining amount of charge, the controller being configured to acquire positional information, indicating a position of the vehicle, and road information, determine a scheduled travel route of the vehicle on the basis of the positional information and the road information, search for a target downhill section that satisfies a predetermined condition within the scheduled travel route on the basis of the road information pertaining to each road section that constitutes the scheduled travel route, determine a first controlled target section when the target downhill section is included in the scheduled travel route, the first controlled target section being a section from a downhill control start point to an end point of the target downhill section, the downhill control start point being located a predetermined first distance before a start point of the target downhill section, and to execute downhill control when the vehicle travels on the first controlled target section, the downhill control being control for changing the target remaining amount of charge to a first remaining amount of charge lower than the normal remaining amount of charge, characterized in that the controller is configured to continue to execute the downhill control until the vehicle reaches an end point of the first controlled target section for which the downhill control is started even when a controlled target section is newly determined during execution of the downhill control. a controller configured to control the internal combustion engine and the electric motor (MG1, MG2) such that a required driving force that is required from the vehicle is satisfied and a remaining amount of charge of the storage battery approaches a target remaining amount of charge set to a normal remaining amount of charge, the controller being configured to acquire positional information, indicating a position of the vehicle, and road information, determine a scheduled travel route of the vehicle on the basis of the positional information and the road information, search for a target downhill section that satisfies a predetermined condition within the scheduled travel route on the basis of the road information pertaining to each road section that constitutes the scheduled travel route, determine a first controlled target section when the target downhill section is included in the scheduled travel route, the first controlled target section being a section from a downhill control start point to an end point of the target downhill section, the downhill control start point being located a predetermined first distance before a start point of the target downhill section, and to execute downhill control when the vehicle travels on the first controlled target section, the downhill control being control for changing the target remaining amount of charge to a first remaining amount of charge lower than the normal remaining amount of charge, characterized in that the controller is configured to continue to execute the downhill control until the vehicle reaches an end point of the first controlled target section for which the downhill control is started even when a controlled target section is newly determined during execution of the downhill control.