Opinion polls have suggested the LDP is on course to return to government as the biggest party, but not with an outright majority.
Its leader, Shinzo Abe, has been Prime Minister before - for one year between 2006 and 2007.
On the sensitive issue of nuclear power, Shinzo Abe told a recent debate audience it's not as simple as shutting down the plants.
"Assume that places like China continue with nuclear power, and only Japan stops. Then at that point if there's an accident would Japan really be all right? Or for instance how to deal with spent nuclear fuel, this is a world-wide issue. In order for us to contribute to those issues, it's necessary to preserve those with knowledge in Japan as well".
The current ruling party, the DPJ, and the minor parties such as the Japan Future Party and Japan Restoration Party are all talking about phasing out nuclear energy. But not the LDP.
The pro-nuclear camp - including the LDP, business groups and power companies - don't want to debate the issue.
"They don't particularly want to have a debate about that. They rather want to shelve the issue, pretend nothing much happened. And they won't come out saying we are pro-nuclear, let's continue. But instead they'll say something like let's wait for three year."
If you liked this article, please give it a quick review on ycombinator or StumbleUpon. Thanks