Any conflict arising from this Agreement shall be submitted to the Tokyo District Court as the exclusive agreement jurisdictional court of first instance.

http://www.siliconstudio.co.jp/english/bishamon_download.htm...

東京地方裁判所 = The Tokyo District Court
専属的 = exclusive
合意管轄裁判所 = jurisdiction
第一審 = first trial, first instance (Nelson's Japanese Character Dictionary)

http://en.wikipedia.org/wiki/Jurisdiction
exclusive jurisdiction
: jurisdiction granted only to a particular court to the exclusion of others
Example: federal courts have exclusive jurisdiction over bankruptcy cases


http://kotobank.jp/word/第一審
だいいっ‐しん【第一審】

訴訟事件を最初に審判する審級。一審。

http://www.e-rad.go.jp/en/policy.html
(Conformance Laws and Jurisdiction)
Clause 14: The laws of Japan shall be applied to this Terms of Use.
2. The Tokyo District Court shall serve as the court with exclusive jurisdiction over this Termsf first trial for all legal suits arising between MEXT and the system's user in connection with usage of this system.





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Note added at 52 mins (2010-05-20 09:39:46 GMT)
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Here are some other companies using this terminology:
http://www.nttdocomo.co.jp/english/utility/term/
Unless stipulated otherwise, the Tokyo District Court in Tokyo, Japan shall have the exclusive jurisdiction of the first trial for all disputes in connection with all controversies and disputes arising out of or relating to the use of this Site.

http://www.takata-purchasing.de/purchasing/custom_views/site...
Use of the Site and the interpretation and application of the terms of use shall be governed by and construed under the laws of Japan, except as may otherwise be provided. The Tokyo District Court shall have the exclusive jurisdiction of the first trial for all disputes in connection with use of the Site, except as may otherwise be provided.

http://www.solar-frontier.com/Privacy/1
This Privacy Policy shall be governed by Japanese law. Disputes concerning this Privacy Policy shall be heard at the Tokyo District Court, which shall be the law court with exclusive jurisdiction for the first trial.

http://www.toyota-tsusho.com/english/disclosure.cfm
Unless stipulated otherwise, the Tokyo District Court in Tokyo, Japan shall have the exclusive jurisdiction of the first trial for all disputes in connection with all controversies and disputes arising out of or relating to the use of this Site.

http://www.japanpost.jp/en/usage/
When the dispute is not settled by the measures mentioned above and judicial judgment is to be sought, the Tokyo District Court of Japan shall be the exclusive competent court of the first trial and have exclusive jurisdiction.


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Note added at 59 mins (2010-05-20 09:46:19 GMT)
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As a final note, in the examples above, the words "over", "of", and "for" are used before the words "first trial."
The Tokyo District Court shall serve as the court with exclusive jurisdiction "over/of/for" this first trial