In a hybrid vehicle, once an engine is started in response to prohibition of an operation stop of the engine based on a deterioration factor, the operation stop of the engine is not allowed irrespective of the value of the deterioration factor D until elapse of a certain time period since the start of the engine. The deterioration factor has an increase according to discharge of a battery and a decrease according to charge of the battery and represents start of deterioration of the battery when exceeding a specific reference value. Such prohibition of the engine operation stop prevents a stop of the engine within a relatively short time period after a start of the engine based on the deterioration factor. This arrangement effectively prevents the driver from feeling odd and uncomfortable due to frequent stops and starts of the engine based on the deterioration factor, which is not apparently correlated to the driver's accelerating operations.