An engine ECU stores a map in which three regions, that is, a high-temperature region, a low-temperature region, and a region therebetween, are prescribed. The pre-feed time T set when the present condition falls in the region is the longest. An engine ECU executes a program that includes the step of detecting an engine cooling water temperature THW when the start-up of the engine is requested, the step of executing the pre-feed until the fuel pressure P becomes equal to or greater than a fuel pressure threshold value P(TH), and the step of starting the cranking when the fuel pressure P becomes equal to or greater than the fuel pressure threshold value P(TH). Thus, the bad start-up caused by fuel vapor is avoided without operating the fuel pump unnecessarily for a long time.