A control apparatus for a hybrid vehicle is provided with: an air-fuel ratio determinator configured to determine an air-fuel ratio of an internal combustion engine in a predetermined period until speed change by a transmission is actually performed; and a controller configured to control at least one of the internal combustion engine and an electric motor in such a manner that a possible amount of torque down of the internal combustion engine is increased if the air-fuel ratio of the internal combustion engine is lean in the predetermined period. By this, it is possible to avoid a detrimental effect, such as a torque shock, deterioration of durability of a friction material, and the like, which can occur in the speed change.