When alcohol-blended fuel is supplied to an internal-combustion engine, the magnitude of alcohol concentration (more particularly, ethanol concentration Cetha) is judged (Step 1005) and, based on this judgment, the magnitude of operational status temperature (more particularly, cooling water temperature THW) is judged (Step 1015). Then, when the alcohol concentration is large and the operational status temperature is low, generation of an intermediate product which is an oxide of alcohol contained in the alcohol-blended fuel in an unburnt state after main injection and alcohol contained in the alcohol-blended fuel in an unburnt state after post injection (more particularly, aldehyde) is promoted, and the generated intermediate product is trapped in an intake passage by making an intake valve into an opened state in an exhaust stroke of the internal-combustion engine (Step 1055).