How do I register a .or.jp domain name?

Try here or here [second one says it is discount]

Those sites seem to offer only .co.jp or .jp, not .or.jp.

What is or.jp other than a not-top level domain? Is it an official domain?

I think I found it—Japan Registry Services Co., Ltd

First I found this whois for an or.jp then I looked up the registrar—JPRS but they are slow loading up
Alles.or.jp – Alles Whois Information
[ JPRS database provides information on network administration. Its use is ]
[ restricted to network administration purposes. For further information, ]
[ use ‘whois -h whois.jprs.jp[Who Is Domain][trace][Reverse DNS Search] help’. To suppress Japanese output, add’/e’ ]
[ at the end of command, e.g. ‘whois -h whois.jprs.jp[Who Is Domain][trace][Reverse DNS Search] xxx/e’. ]

Domain Information:
a. [Domain Name] ALLES.OR.JP
d. [Network Service Name] AllesNet
l. [Organization Type] Network Service
m. [Administrative Contact] SY291JP
n. [Technical Contact] AA551JP
p. [Name Server] dns0.alles.or.jp
p. [Name Server] dns1.alles.or.jp
[State] Connected (2011/04/30)
[Registered Date] 1996/04/25
[Connected Date] 1996/06/05
[Last Update] 2010/05/01 01:27:58 (JST)

Japan Registry Services Co., Ltd.
JPRS plays various roles to keep the Internet running smoothly by managing and administering domain names and operating the domain name system. ...
jprs.co.jp/en/ – Cached

I eventually found this:

http://jpdirect.jp/new/or/

Notably not in English, but can read enough to tell that there’s an application process (presumably to verify that you’re a qualified org). Will have to punt this to Japanese staffer.

@ninechars the one I found you can read in english if you type
Japan Registry Services Co., Ltd. into google

it also says that .OR.JP [is for] Judicial persons (other than kaisha) established under the laws of Japan. [not organizations]
(e.g. EXAMPLE.OR.JP)

also

CO.JP Companies (kaisha) having an official corporate registration in Japan. Non-Japanese companies that are registered as “Gaikoku Kaisha” may also apply.
(e.g. EXAMPLE.CO.JP)

GR.JP Groups which consist of two or more individuals residing in Japan, or groups of two or more corporations [*2] established under the laws of Japan.
(e.g. EXAMPLE.GR.JP)

.JP Any individual, group, or organization that has a permanent postal address in Japan may apply for a 2nd level, i.e., General-use JP Domain Name.
(e.g. EXAMPLE.JP)

these 3 seemed to be the closest unless you want a regional subdomain.

.jp has no equivalent of .org , it has .ed for .edu and another one for edu, it has .ne for .net and I think it has .go for its national govt —- but nothing for org

yes anartist you are right.,