The cases related to the procedures carried out by the court pursuant to the provisions of this Act are under the exclusive jurisdiction of the following courts:
この法律の規定により裁判所が行う手続に係る事件は、次に掲げる裁判所の管轄に専属する。
the district court determined by an agreement between the parties;
当事者が合意により定めた地方裁判所
the district court which has jurisdiction over the place of arbitration (limited to the case where an area that belongs only to a jurisdictional district of a single district court is determined to be the place of arbitration); or
仲裁地（一の地方裁判所の管轄区域のみに属する地域を仲裁地として定めた場合に限る。）を管轄する地方裁判所
the district court which has jurisdiction over the location of the general venue of the respondent of the case.
当該事件の被申立人の普通裁判籍の所在地を管轄する地方裁判所
Notwithstanding the provisions of the preceding paragraph, a petition on a proceeding carried out by a court pursuant to the provisions of this Act may be filed with the Tokyo District Court and the Osaka District Court if the place of arbitration is in Japan.
前項の規定にかかわらず、仲裁地が日本国内にあるときは、この法律の規定により裁判所が行う手続に係る申立ては、東京地方裁判所及び大阪地方裁判所にもすることができる。
If two or more courts have jurisdiction pursuant to the provisions of this Act, the court which first received a petition has jurisdiction.
この法律の規定により二以上の裁判所が管轄権を有するときは、先に申立てがあった裁判所が管轄する。
If the court finds that the whole or part of the case related to the procedures carried out by the court pursuant to the provisions of this Act is not under its jurisdiction, it must transfer the whole or part of that case to the court with jurisdiction, upon petition or on its own initiative.
裁判所は、この法律の規定により裁判所が行う手続に係る事件の全部又は一部がその管轄に属しないと認めるときは、申立てにより又は職権で、これを管轄裁判所に移送しなければならない。
If it finds it appropriate, the court that has jurisdiction over the case pursuant to the provisions of paragraph (3) may transfer the whole or part of that case to the court that is not vested with jurisdiction over the case pursuant to the provisions of that paragraph, upon petition or on its own initiative.
Read this with the articles around it