The period of denial of landing solely for the reason of overstaying is up to 10 years after your last departure from Japan. You will not be denied a visa for that reason alone. It is a good idea to apply for a tourist visa at a Japanese consulate that has jurisdiction over your place of residence. Other things will also be examined, so a visa will not necessarily be issued. If there are other violations of the Immigration Control Act or the Criminal Code, there is a high possibility that a visa will not be issued.
