This will be the first time Japan is without nuclear power since July 2012, The Japan Times reported.
Inspections of nuclear reactors normally take four to six weeks.
"Safety is important, but if you waste time, that too has an effect on safety. The Fukui nuclear power plant sites have a long history and respond to risks. My position is therefore different from other prefectural governors," said Fukui Gov. Issei Nishikawa, who has said he would like to see the inspection be completed as soon as possible.
Japan relies on nuclear power for about 32 percent of its electricity prior to the March 2011 earthquake and tsunami.